Find the dimension of the null space of the given matrix A. 1. -1 4 A = 2 3 -2 1 2 -2

Q: Find all the values A such that the given matrix is singular. A = l [7 -1 2 14 4 – 2l

A: Consider a square matrix A. Then the matrix A is said to be singular if and only if its determinant…

Q: Find the elementary matrix E such that EB = A where %3D 2 3 1 2 3 1 A = 4 -3 -2 and B = -8 6 4 7 -6…

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Q: A? 0 0 A =

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Q: Find the elementary matrix E such that EB = A where %3D 5 4 1 ] 4 1 A = |4 |7 -6 1 -1 and B = |12 3…

A: EB=A multiplying with B-1 on both sidesEBB-1=AB-1E=AB-1

Q: Find all values of kfor which the given augmented matrix corresponds to a consistent linear sys -3 k…

A: System is consistent if rank of [A:B]=rank of [A] (a) Given matrix 3-3k-666

Q: Let A be a 5 x 9 matrix. Which of the following statements is (are) true? Ob and d O c) Nullity of A…

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Q: 2P is a singular matrix then find the value of P. D M 3. If A =| K 3 S -P R L.

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Q: Find the elementary matrix E such that EB = A where 4 1 4 4 1 3 -1 -2 and B 18 -6 -12 %3D 5 -7 4 -7…

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Q: Which of the following about matrix A is not true? A = [1 2 2 3 [3 1 31 3] 1 2]

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Q: Let A be an n x m matrix. What is the value of rank(A) + nullity(A)? A) т B) n +1 C) m + n D) т — п…

A: given matrix A is of order n*m to find  rank(A) + nullity(A)

Q: Give the value(s) of a for which the columns in the matrix 9 6 -6+a A= 6 12 -6 -6+a -6 are linearly…

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Q: 123 A = 3 4 5 Given matrix A above, what is At?

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Q: Suppose A is a 5 x 5 matrix for which det(A) = -3. What is the value of det(2A)? det(2A) =

A: Sol:- Given :- Det(A) = -3 and Dimension of 5 * 5 Matrix

Q: D M 2P] 3 3. If A =| K [-P R s is a singular matrix then find the value of P.

A: Given a matrix, A=DM2PK3S-PRL. Let, D=1, L=9, P=f, S=1, N=8, K=9, M=3, R=5. Then, A=132f931-f59  To…

Q: 10. Which one of the following matrices is not diagonalisable, working over C? 4 4 0 7 (a)| (c)| (b)…

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Q: How many determined (basic) variables does each augmented matrix have? 1 8. 0 00 0 0 1 0 5 7 0 1 5 0…

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Q: 1. A = -1 1. 4 2 . 2. 2.

A: on solving this we get the

Q: (4) Given matrix A = and that h(T) = T² – 2T – 7, find h(T).

A: We use properties of matrix

Q: Find the elementary matrix E such that EB = A where 4 1 2 4 6. 1 A = 2 -3 -1 and B = -4 2 6 -8 -8 2…

A: To find E such that EB = A

Q: 1 Diagonalize the given matrix if possible: A 4 -1 1 0 4 0 D = and P 0 2 1 3 4 4. D = 1 and P = -4…

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Q: Let A = [ 3*0 .8 = [ Jand C = [14-0 Jand c = [1* | Find the matrix X, if 8+0 -10 A? + 3X =C |B|

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Q: [0] Let A = : 1.B = : J.c = 6 1. and V = [1 2 31 l4 5 6 „B = lò ol.c = 6 1, and v = |1. What is the…

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Q: Q1) Answer the following a) If a 7 × 5 Matrix A has rank 2, find dim(Null A), dim (Row A) and rank…

A: (a) Given that A is a 7×5 matrix of rank 2. To find: The dimension of Null A and dimension of Row A.…

Q: (4) Given matrix A and that h(T) = T² – 2T – 7, find h(A). 5

A: Matrix Multiplication

Q: The Harmitoniat is represented b The matrix H- (a

A: In this question, we have to find the eigenvalues and eigenvectors for the given matrix H=αϖ0ϖα000α…

Q: -1.T If A is 3x3 nonsingular matrix such that AA' =A'A and B=A A' then BB' = Select one: (B*," b. в…

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Q: For what values of A is the matrix below singular? [λ 9 Lo 9 07 λ 4 4 21

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Q: Which of the following is/are not an identity matrix? [1], в %3 1 B = 1 0 0 D 1 A C 0 1 1 0 0 0 1 0…

A: The identity matrix of size n is the n × n square matrix with ones on the main diagonal and all the…

Q: (4) Given matrix A = 3 and that h(T) = T² – 2T – 7, find h(T).

A: see 2nd step.

Q: M 2P1 3. If A =| K [-p R 3 S is a singular matrix then find the value of P.

A: Solution -  We are given a matrix -  A=DM2PK3S-PRL   A singular matrix is a matrix whose determinant…

Q: Give the value(s) of à for which the matrix A will be singular. -4 1 -2 A= 0 1 A 2 A={-2, 1} b)…

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Q: 4 Given matrix A = : 1, find x such that -2 the matrix is singular. а. О с. 3 b. 2 d. 6

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Q: (4) Given matrix A = ( ), and that h(T) = T² – 2T – 7, find h(T).

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Q: Find the elementary matrix E such that EC = A where 3 3 -2 1 3 3 1 A 4 -1 and C 4 -2 -1 -6 3 20 9. 8…

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Q: Find an elementary matrix E that satisfies the stated equations. 8. 1 5 8 5 8. 1 5 B = 2 -7 D -6 21…

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Q: Find the values of k for which the matrix B is invertible. B = -2 1 0 2 k 4 3 1

A: We need to determine the values of k for which the matrix: B is invertible.

Q: Which matrix is of the reduced echelon form? Oa. (1 2 04 0 0 2 7 Ob. 1 2 5 0 13-7 10 1 0 0 0 01 0…

A: To find the reduced echelon form of given matrices.

Q: Which of the following is an elementary matrix? 1 0 1 В. 1 C. 0 0 1 A. 5 1

A: Given : Matrices A.  10-51 B. -5110 C. 110001000 D. 2002010000100001   To find : Which of the…

Q: 16. Let A be a square matrix such that |A| = 4. Then |(AT)-"| is equal to (A) 0 1 (B) – (9) (D) -4…

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Q: The characteristic equation of the matrix 23 A = 1 2 is p(1) =22 – 4 2 +7=0. Select one: O True O…

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Q: Find the value of k such that matrix A is 2. k – 10 singular on Ik - 5 а. 1 С. 3 b. 2 d. 4 O D O B O…

A: Topic = matrices Correct option=D

Q: a For what values of a, b, and c is the matrix -a invertible?

A: For no values of a, b, c the given matrix is invertible.

Q: 6 5 3 7 7 7 9. a Consider the matrix A = n f 5 4 6 h e Calculate a33 Calculate a13

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Q: 4 Let C= 1 and D = -3 -2 1 2 - Find each matrix below. If a matrix is not defined, click on…

A: In the question two matrices are given C and D. Following computations are asked: i) C×D ii) D×C…

Q: Let be A, B, C three matrixes 30 1 B = z A = 2 y C = 5 13 -10, 10 What is the value for X that…

A: We will solve for x.

Q: C be the matrix defined as a₁ an C = a-1 9₂ az az a a₂ a, a az a4 1 A an an-l an-2 a₁

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Q: a Let A = b be 2 x 2 matrix such that d 3A' +2 Find A. 1

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Q: Give the value(s) of a for which the columns in the matrix 8. -4 4 A = -4 +а 5 -6 4 -6 10 + a are…

A: We will find out the required values.

Q: (4) Given matrix A= and that h(T) = T – 2T – 7, find h(T).

A: