Identity matrix is denoted as I.Orthogonal Matrix: A matrix is said to be orthogonal if AAT = ATA = IIdemponent Matrix: A matrix is said to be idemponent if A2 = AInvolutary Matrix: A matrix is said to be Involutary if A2 = I. If A is any square matrix, then which of the following is skew-symmetric? I did not think that this would work, my best friend showed me this website, and it does! of columnsTherefore Matrix [M] is a matrix of order 3 × 3. The horizontal entries in matrix are known as rows, while the vertical identities are known as columns. These cookies will be stored in your browser only with your consent. \end{array}\right]\) is a For example, a23=6. x & -y & z (d) 512, Question 34. \end{array}\right]\), Question 12. (d) AC = BC and A = BC In this chapter, we will typically assume that our matrices contain only numbers. (a) skew-symmetric matrix Answer: (c) A is a scalar matrix (a) -2, -7, -1, -3, -5, 2, Question 30. If A = \(\left[\begin{array}{lll} Go To Download Page Close. It has gotten 13796 views and also has 4.8 rating. If A and B are symmetric matrices of the same order, then a & b & c \\ EduRev is like a wikipedia just for education and the 1. using search above. Just select your click then download button, and complete an offer to start downloading the ebook. Your email address will not be published. (a) a skew-symmetric matrix (d) skew-symmetric matrix, Question 28. (AB)-1 = B-1A-13. Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is Answer: (CSE) GATE 2020, Computer Architecture and Organisation (CAO), Singular Matrix: A square matrix is said to be singular matrix if its determinant is zero i.e. \end{array}\right]\), Question 25. The order of the single matrix obtained from 6 & 8 & 5 \\ (b) \(\left[\begin{array}{cc} 0 & 0 & 1 A matrix having order 2 by 4 has number of rows: Suppose A is a matrix and B is an identity matrix of A under multiplication, then which of the following statemets is correct: The correct statement above commutative law of multiplication in matrices: Correct answer: 3. (d) α = 2ab, β = a2 + b2 In order to read or download engineering mathematics mcq ebook, you need to create a FREE account. (a) a skew-symmetric matrix, Question 24. (d) 5, Question 32. (A-1)-1 = A2. 5 & -2 & 2 Mock Test Series - Computer Science Engg. If you want to familiarize with all concepts of engineering maths and enhance your problem-solving ability and time-management skills, then choose the best book on engineering mathematics for btech 1st-year exams. -4 & 3 & -2 \\ (c) \(\left[\begin{array}{ccc} All Rights Reserved © MCQ Scholarships 2020. Matrix Algebra Gate Questions Engineering MathematicsGate ECE QuestionsTopic wise Gate Questions (c) -4, Question 3. -2 & 1 Matrices, Linear Algebra, Engineering Mathematics, GATE | EduRev Notes for Computer Science Engineering (CSE), the answers and examples explain the meaning of chapter in the best manner. (d) none of these (c) 4, 2, -7 (c) A + B = B + A and AB = BC Complete
If A is a square matrix such that A2 = I, then (A – I)3 + (A + I)3 – 7A is equal to (d) None of these (a) 2 And the order of B is p×n. 6 & 6 & 7 \\ This Matrix [M] has 3 rows and 3 columns. -8 & -12 & 0 Answer: Trace of a matrix: trace of a matrix is denoted as tr(A) which is used only for square matrix and equals the sum of the diagonal elements of the matrix. (c) AT (a) 0 Because here we have jotted down a list of suggested books for b.tech first-year engg. (d) ATA (c) AAT Matrices, Linear Algebra, Engineering Mathematics, GATE | EduRev Notes pdf from EduRev by
Then the real Eigen value of A is, Consider the following statement about the linear dependence of the real valued functions y. Answer: (a) A is a diagonal matrix (a) unit matrix (d) 5 Properties of Matrix addition and multiplication: Square Matrix: A square Matrix has as many rows as it has columns. (a) \(\frac{1}{\sqrt{2}} \cdot \frac{1}{\sqrt{6}}, \frac{1}{\sqrt{3}}\) Matrices, Linear Algebra, Engineering Mathematics, GATE | EduRev Notes Summary and Exercise are very important for
Answer: 0 & 0 & 1 -1 & 3 & -3 \\ Matrix multiplication is not commutative in general. x & 1 \\ Question 1. \end{array}\right]\) where a, b, c are real positivenumbers, abc = 1 and ATA = I, then the value of a3 + b3 + c3 is -8 & 7 & -5 \\ (a) 2, 2, 3, 4 If A is an m × n matrix such that AB and BA are both defined, then B is a mathematics to help in your exam preparation. -5 & 0 & 11 \\ If A = \(\left[\begin{array}{lll} Answer: If a matrix A is both symmetric and skew-symmetric, then 2 & 7 (c) Both (a) and (b), Question 17. It is widely used in the field of engineering, mathematics, and physics. (c) AT, Question 19. 1 & 0 Matrices, Linear Algebra, Engineering Mathematics, GATE | EduRev Notes images and diagram are even better than Byjus! Answer: (b) a symmetric matrix (c) 1, 3, 4, 2, 8, 9 \end{array}\right]\) and (A + B)2 = A2 + B2, then x + y = 1. Save my name, email, and website in this browser for the next time I comment. y1, y2 and y3 are linearly dependent on -1 ≤ x ≤ 0 Which one among the following is correct? If A is a square matrix, then A – A’ is a 0 & 1 \\ 1 / 2 & 1 / 5 & 0 \\ If A = \(\left[\begin{array}{lll} Answer: (a) \(\left[\begin{array}{ccc} (a) A + B = B + A and A + (B + C) = (A + B) + C (c) AB + BA is a symmetric matrix, Question 2. (d) 512 Consider the following statement about the linear dependence of the real valued functions y1= 1, y2= x and y 3 =x2, over the field of real numbers. 1 & 3 \\ A matrix is an array of numbers that is enclosed by brackets. The maximum value of the determinant among all 2×2 real symmetric matrices with trace 14 is ________. 1 / 3 & 0 & -1 / 5 \\ (c) 3 × 2 (b) n × n PART A: MATRICES A matrix is basically an organized box (or “array”) of numbers (or other expressions). (b) 3 Answer: If there is a survey it only takes 5 minutes, try any survey which works for you. (a) \(\frac{-1}{11}, \frac{2}{11}\), Question 13. Many thanks. Answer: Answer: then find the values of a, b, c, x, y, and z respectively. Answer: (b) \(\frac{-1}{\sqrt{2}}, \frac{-1}{\sqrt{6}}, \frac{-1}{\sqrt{3}}\) The horizontal entries in matrix are known as rows, while the vertical identities are known as columns. (c) -4 (d) m × n matrix (b) α = a2 + b2, β = 2ab, Question 6. (c) AB + BA is a symmetric matrix I. y1, y2 and y3 are linearly independent on -1 ≤ x ≤ 0 II. 3 / 5 & 1 / 3 & 1 / 7 |A|=0. A matrix represents a collection of numbers arranged in an order of rows and columns. Note: Every Square Matrix can uniquely be expressed as the sum of a symmetrix matrix and skew symmetric matrix. If \(A=\left[\begin{array}{cc} 1 & -2 & y \\ Answer: If you have a set of simultaneous equations: 7x + 2y + z = 213y – z = 5-3x + 4y – 2x = -1. 1 & 3 & 1 \\ For matrices of same dimension M, N and scalar c, which one of these properties DOES NOT ALWAYS hold? (b) 3 This category only includes cookies that ensures basic functionalities and security features of the website. 7 & 5 & 1 Title: \end{array}\right]\) and A2 – KA – 5I = 0, then K = You can download Free 1. (d) diagonal matrix Answer: EduRev is like a wikipedia
c & a & b (a) α = a2 + b2, β = ab A matrix having order 2 by […] (a) Zero Matrix (Adj A). 1. (c) Both (a) and (b) The number of distinct eigenvalues of the matrix, It is given that A has only one real Eigen value. (a) \(\left[\begin{array}{cc} XD. 0 & 1 & 0 \\ If this activity does not load, try refreshing your browser. Each element of matrix [M] can be referred to by its row and column number. Required fields are marked *. We also use third-party cookies that help us analyze and understand how you use this website. A real (4 × 4) matrix A satisfies the equation A. (c) 3 This is the Multiple Choice Questions Part 1 of the Series in Advanced Engineering Math topic in Engineering Mathematics. 3 & 4 Answer: (b) 5I – A \end{array}\right]\) and AB = I3, then x + y equals (b) skew-symmetric matrix, Question 4. To get started finding Engineering Mathematics Mcq , you are right to find our website which has a comprehensive collection of manuals listed. (c) n × m \end{array}\right]\), then A2 – 5A is equal to -2 & 5 & -1 \\ A matrix is an array of numbers that is enclosed by brackets. Skip to content Engineering interview questions,Mcqs,Objective Questions,Class Notes,Seminor topics,Lab Viva Pdf free download. (d) 3 × 3 eBook includes PDF, ePub and Kindle version. 4 & 7 \\ Practice these MCQ questions and answers for GATE CSE preparation. (a) m × n matrix ID : MqY6SLQfexKji5X Powered by TCPDF (www.tcpdf.org) 7 / 7. Also, this page requires javascript. \sin x & \cos x Matrices, Linear Algebra, Engineering Mathematics, GATE | EduRev Notes search giving you solved answers for the same. 0 & 1 & 0 \\ \end{array}\right]\), find AAT. (c) 2 i.e. (d) A is a square matrix (b) 4, 2, -3, Question 22. It is widely used in the field of engineering, mathematics, and physics. (d) 3 × 3, Question 31. (c) \(\left[\begin{array}{ll} (c) skew symmetric matrix 1 If the order of matrix A is m×p. 2 & 2 & 1 \\ -1 & 1 & 2 \\ (d) 6I \end{array}\right]\), Question 8. Using the above property, the determinant of the matrix given below is, This site uses cookies to ensure you have the best browsing experience on this website. (b) A is a zero matrix, Question 23. \end{array}\right]\) satisfy the equation ATA = I3.
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