Q.2 Let B = 26 Find a matrix A such that A = B 27

Q: Find the elementary matrix E such that EB = A where 2 -12 2 1 1 A = 4 0. -2 and B = 24 %3D | 6. -8 3…

A:

Q: (iv). Find det(A¯1) of the following matrix: 1 3 -1 2 1

A:

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…

A:

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

A: Given matrix is A=DM2PK3S-PRL. Consider D=1, L=9, P=f, S=1, N=8, K=9, M=3 and R=5. Then the given…

Q: [1 2] Find a matrix X such that AXB = C, where A = 2 1 0 0 [2 0 B and 0 1 1 1 C = 0 1 -1

A: For multiplication of the two matrices there is a condition which says Number of column of first…

Q: Find the matrix X S uch thất 2A + B + X =0 where -1 2 3 -2 A = B = 4 Select one: a. -1 -2 -7 13 O b.…

A: Given 2A+B+X=0 From above  X=-(2A+B) We will find matrix X as follows

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

A:

Q: In the given question find an elementary matrix E such that B=EA.

A: given,       A=21-13  ,  B=-1321

Q: 2. Compute the following using the given matrix A. A= (a) A- (b) A + 2A +1

A: Inverse of matrix

Q: Q3. Consider the matrix -1 A = -1 1 Compute || A||2 using the SVD of A.

A:

Q: Some of the entries of the 3 x 3 matrix A are known as A -1 1 If det (A) = -–6 and A-1 find x.

A:

Q: (4) Let A E R™xn be any matrix. Solve the following problem min ||AX – I||r Hint: Write X = [x1,...,…

A:

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

A:

Q: 5. Let D be a non-singular matrix such that 7. (7D)- 1 -2 Find D.

A: Inverse matrices

Q: Let [ 2 A = 6 -1 and B = %3D Find an elementary matrix E such that EA=B.

A: An elementary matrix is one which differs from the identity matrix by one elementary row operation.

Q: 5. Let A be an n x n matrix. Show that if B = S-¹AS for some nonsingular matrix S, then det(B) =…

A: Here, given that: B=S-1AS

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: 1. АT 2. В — 2A

A: To find 1.A^T 2.B-2A

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: - 2 Determine det D, adj D and D for the matrix D = 1 2 3 - 2 -1 -2 3

A:

Q: 5. Find if possible a nonsingular matrix P such that P'AP is diagonal. [1 2 a. A= b. A= 4 -8 -8

A: Given matrix  a.) A=122-1 b.)A=74-44-8-1-4-8-1 To find possible a non singular matrix P

Q: Find the value of k so that matrix A singular. 1 1 1 -k A = 3 2 -6 -2 2k O 1 3 O None of the above

A: topic- matrices and determinant

Q: 7. The rank of an identity matrix of order n is: А. п - 1 В. п C. n+1 D. 0

A:

Q: ( ( ). -1 (4) Given matrix A = and that h(T) = T² – 2T – 7, find h(A).

A: Now we will find h(A)

Q: Find the elementary matrix Ej such that EA = B where 7 A =4 -11 -1 and B = 4 -11 -1 5 6 5 1 12 1 12…

A: We have to solve given problem:

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

A: see 2nd step.

Q: Q1: Find a matrix P that diagonalizes A , and check your work by computing P-'AP ; [2 0 -2 1) 4 = %…

A:

Q: For a matrix A having JA| = 0, which of the following are true? * O A- exists with |A¬' |= 0| O A-…

A:

Q: Q.1 Consider the following matrix (-1 3 0Y A = 2 0 2 2 1 4 1 B- 2 -1 5 -3 0 1 10 C-2 A. Show that a.…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Find the elementary matrix E such that EB = A where 4 4 1 4 4 1 A = |4 -3 -2 and B = | 20 -15 -10 7…

A:

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

A:

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: Let M-1 = [² ¹9]. 18 Then (2M¹)-¹ = [3] the above matrix None of the mentioned 4 [1/2]

A:

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

A: i have answered this question in step 2.

Q: •(b) A = B:

A: Given,        A=-1201,   B=1-201

Q: Let A be a 4 x 4 matrix with det (A) = 1. What is det(2A)? a) 1 b) 2 c) 4 d) 8 e) 16

A: By using determinant property, we calculate the required result.

Q: Find the elementary matrix E such that E A B where | 7 A = -15 -1 and B = 16 16 9. -15

A: The solution is given as

Q: Find the Frobenius norm of the given matrix. 15 A = 15 15 ||A|| = Ex: 6

A: The frobenius norm is calculated as:

Q: 1 0 21 21 4. If M = -1 3 4 and B: = 3 4 078 L5 61 Find the matrix C such that MC = B.

A: To find- If M = 102-134078 and B = 123456 Find the matrix C such that MC = B

Q: Let B be a Sx5 matrix and Caa): (a-1)(X-メーい(メ) Than the rann of 21-B is? A)S B) 4 c) 3 D) can't…

A: Rank of any matrix is equal to number of non zero rows of matrix when it is in row reduced echelon…

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

A:

Q: Find the elementary matrix E such that EB = A where 2 1 3 1 A = |4 -1 -2 and B = –16 4 8 9 -7 4 9 -7…

A:

Q: Find the matrix A such that 1 0 A = -1 -2 9. 7 11 a b Hint: Let A = c d A =

A: If two matrix are equal then all elements of matrices are equal. In this question first we find…

Q: Use the following matrix. [1 0 4* E = 5 1 0 What is the order of matrix E?

A:

Q: 21 1 2 1 ol -1 A = | 0 2.

A:

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

A:

Q: 8. Q1. a) If A = 4 and B = then find the matrix X such that 2A +3X = 5B

A: We have to find the matrix X such that 2A+3X=5B where matrices are given as: A=804-236 and…

Q: [*:* а + 2 а (10) Find all a E R for which the matrix is singular. 1 а

A: Remark: A square matrix A of n is said to be singular if and only if det(A) = 0. i.e., Its…