3. Uring adjoint of the matrix, Find the inverse OF the FOllowing matrices, iF po ssible . 3 2 a. C. -2 4 2 3 -5 4 2 3 b. -1 1

Q: Which of the following matrices is not in row echelon form? Ti –2 3 77 0 150 0 001 A 1 -1 6 5 97 0…

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Q: 10. If a and b are two matrices, such that a. b=b.la, what is concluded? a = a a = a! a = a'

A: Given: a and b are two matrices such that a./b=b.\a. The objective of the question is to find what…

Q: Which of the following matrices is not in row echelon form? [10 67 00 0 01 -1 00 1] [1 -1 6 5 97 0…

A: We want to find matrix which is not in row echelon form.

Q: Given the following matrix, find the ADJOINT. [2 C = |1 1 1 1 1 .1 -1 2 ANS: 3 -3 adj(C) = |-1 3 -1…

A:

Q: Suppose that A, B, C, D, and E are matrices with the following sizes: B C D (2 x 5) (2 x 2) (5 x 1)…

A: size of the given matrices,A: (2×5)B: (2×2)C: (5×1)D: (1×5)E: (2×2)

Q: Suppose A is a 4 x 5 matrix with rank 4. Wha А? O Col (A) = R+ O Nothing O Col (A) # R O Col (A) =…

A: We cannot say anything about it. Since we do not know anything about its determinant. We just know…

Q: If A and Bare 5 × 6 matrices, and C'is a 4 x 5 matrix, which of the following are defined? O A. A –…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: Which of the following matrices are similar to a diagonal matrix? 2 3 0 2 3 (a) 0 1 0 (b) 0 1 Lo o 2…

A: Given:Diagonal matrix:Diagonal matrix is a diagonal matrix when all entries  that are not on the…

Q: The identity Matrix is defined by 1 1 а. 1 1 1 0 1 0 1 с. 1 0 1 d. 1 1 Select one: а. а 6.

A:

Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det(A² BC-1)?

A: Given A, B and C are 3×3 matrices. and A=-3,B=-2,C=6 Find the determinant of A2BC-1.

Q: Find the cofactor matrix, the adjacency matrix, and the inverse (if it exists) of each of the…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Let A be an n xn matrix and B = A+1, where / is the identity matrix, then it is possible for A and B…

A:

Q: Suppose that A, B, C, D, and E are matrices with the following sizes: A В C D E (4 x 4) (4 x 4) (4×…

A: A,B,C,D and E be the matrices with sizes,A-(4×4)B-(4×4)C-(4×6)D-(4×6)E-(3×4)

Q: Let A, B and C be matrices of type 2 x 3, 3 x2 and 2 x 2 respectively, such that det(AB) = -3 and…

A: Solution

Q: Let A and B be 4 X 4 matrices with det A = 2 and det B =-1/4. Find det C for the indicated matrix C:…

A: Solution: Consider the given matrices A and B, 4x4 order with det A = 2 and det B = -1/4. And given…

Q: Which of the following matrices are in RREF? (: ) (1 10 7 0 1 9 0 0 1 1 14 1 1 - 1 0 0 5 1 1 10

A: Solution

Q: Given the matrices below and that A = LU, complete L-1U-l,and A-1. 1 -6 -2 1 1. A = 1 -5 -5 L = 1 1…

A: Here we have,  A=1-6-21-5-5-4270, L=100110-431 , U=1-6-201-3001 Given:-  A=LU

Q: Define the size of each of the following matrices 4 -2 B = 1 A = C = 1 -1 2 -4 (: :) D= E = 4 3…

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Q: 2.10 Determine which of the following matrices are symmetric and which are antisymmetric: 1 2 (b) 3…

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Q: Compute the indicated matrices, if possible .…

A: Given that, A=1235B=20-13-34

Q: consider the following matrices with given dimension А: 3 х 4 B: 3 х 4 С: 4 х 2 D: 4 x 2 E: 4 x 3…

A: we have to find order

Q: , suppose that A, B, C, D, and E are matrices with the following sizes: A B C D E (4 x 5) (4 x 5) (5…

A: Rules for matrix algebra: 1 Two matrices A and B can be added and subtracted if and only if both the…

Q: 1 2 Let (A – 21)-1=| 3 4 where / is the identity matrix,then A = Select one: а. 0 3 7 3 2 2 b. 1 3 3…

A: A-2I-1=1234 Taking Inverse both sides, we get…

Q: Let A be a 4 by 8 , B be a 8 by 9 and C be a 9 by 4 matrix. Determine the size of the following…

A:

Q: If A and B are square non-singular matrices of the same dimension. Which of the following statements…

A:

Q: find the inuerse of the following matrices. Execise if le)-2-1 3. 3 5 H-3 -21 3.

A:

Q: Suppose that A, B, C, D, and E are matrices with the following sizes: A B C D E (1 × 1) (1 × 3) (3×…

A: For matrix multiplication, number of columns of first matrix should be equal to number of rows of…

Q: Suppose that A, B, C, D, and E are matrices with the following sizes: A в с B D E (4 x 2) (4 × 5) (5…

A: Multiplication of two matrices is possible if the number of columns of the 1st matrix is equal the…

Q: Let A, B and C be 3x3 matrices with det(A) = 7, det(B) = 5 and det(C)= 6 find det(det(A).B'.C)…

A: It is given that detA=7,detB=5,detC=6 detdetAB-1C=det7×1detBadjBC=det76adjBC It is known that…

Q: the inverse A 5.1(b,c) Is given matrix diagonalizable? If so, what are the corresponding matrices P…

A:

Q: Let A, B and C be matrices of type 2 x 3,3 x 2 and 2 x 2 respectively, such that det(AB) = -3 and…

A: Explanation of the answer is as follows

Q: Compute the indicated matrices, if possible . A2B

A: GivenA=1235 , B=20-13-4To compute A2B

Q: 27. Diagonalize the following matrices, if possible. [1 (a) Г5 1] (b) 0 5 [3 (c) [1 5 [2 3] (d)

A:

Q: 30. Which of the following matrices is not diagonalizable? 20 [3 2 5 (a) 04 7 (c) 0 10 09 001 [2.0…

A: See the details solution in below

Q: If A and B are 3 × 3 matrices and detA=2 and det B = 4, find det (5A* BTΑ-)

A: See the details solution in below

Q: 4 2 If A is a non-singular matrix whose inverse is 1 1 find A. - 2 -1 1 D. -1 1/2 1 В. С. -1/2 2 А.…

A: Goal is to find inverse of matrix 4211

Q: 6. If A and B are symmetric matrices, then (2A-1 – B)" = O 2A-1 + BT O 2A-1 – B O 2A-1 – B-1 None О…

A:

Q: If A ̸= 0 and AB=AC, where A, B, C are square matrices, then B=C.

A:

Q: If we have matrices E = - 3 Jand F= 2. 3. 1. -3 er -2 9- create E 2,

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Which of the following matrices has an inverse? -10 -3 1 15 4 -9 4 -1 3 B [1 2 3 26 5 110 1 10 - 2-3…

A:

Q: Let A and B be 4 X 4 matrices with det A = 2 and det B =-1/4. Find det C for the indicated matrix C:…

A: Given :            A and B are 4 × 4 matrices.           det(A) = 2 and det(B) = -14.           C…

Q: Let A and B be 3 × 3 matrices with det(A) = 4 and det(B) = 5. Find the value of (a) det(AB) (b)…

A:

Q: Let A, B , and C be square matrices. Show that(a) A is similar to A.(b) If B is similar to A, then A…

A: A matrix M is said to be similar to a matrix N is there exists a nonsingular matrix P such that…

Q: Let A and B be 7 × 6 matrices. If dimN(A) = 3, what is the rank of A? rank(A) If rank(B) = 2, what…

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Q: Find the inverse of each of the following matrices (if it exists): [i -2 -1" A = 2 -3 [1 3 -2 C = |2…

A:

Q: 1. If A is 3x3 matrix with det(A) = 5 then det(3A) %3D O 3(5)=15 9(5)= 45 O 27(5)= 135 5(5)(5)= 125

A:

Q: Suppose that A, B, C, D, and E are matrices with the following sizes: A В D E (1 × 5) (1 × 1) (5 ×…

A: General representation of the size of the matrix is   m×n Where m=number of rows in the matrix…

Q: 29) Show that the following 3x3 matrices are inverses of each other by calculating AB and BA. What…

A: