Find the product of the matrices shown below. 1 3 2 1 4 A = X 1 1 2 1 1 1

Q: Find the inverse of each of the following matrices: (a) [4, -2, 1 ; 7, 3, 0 ; 2, 0, 1]  (b) [1, 0,…

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Q: 1. Calculate the product C = AB of the matrices A and B 1 8 A = 4 B = [ -2 -5 3

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Q: (c) Find A-1 and B-1 using the adjoint matrices you found in part (b).

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Q: 1- 2. 12 3 10 O 니 %3D 3.

A: In this question , we can find the value of the variable of 'a' and 'c' . Multiply the left hand…

Q: 3. Use the matrices to perform the indicated operation. If not possible, state why. 1 2 -1 4 0 1 4 0…

A: here is the solution:

Q: Use the given matrices to find the expression. 3 3 8 A =7 6 5 1 19 2 4 4 C = | 2 7 2 ; A + C 5 3 3 A…

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Q: Let A, B, C and D be square invertible matrices, such that AB = CD. Find an expression for B-¹?…

A: Use the properties of invertible matrices and their product to solve this problem as in next step.

Q: Diagonalize the following matrices a) (0 0 1 2 -2 A : 1 1 0 3 b) 3 2 A -2 -2 -2 1 2 2

A: We find the eigenvalues and corresponding eigenvectors of the given matrix to diagonalize it.

Q: Which of the following matrices are symmetric? 3 -9 6 (c)-9 7 9 (d) 0 3 0 (a) (b) 6. 95 100 Type the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the product AB of two matrices. a) A = [1 2 0 -1 -1 .3 2

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Q: 5. Given the two matrices 1 9. 6 1 A = {2 -6 and B = 4 2 -1 4 -1 -1 -4 show that A B + B A.

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Q: o 11:09 e * Asiacell A docs.google.com for the two matrices shown , Find the * (multiplication (A.B…

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Q: 4 A = 13 | 1 3.

A: If E is the matrix after applying some row operations on identity matrix I, then E is known as the…

Q: Diagonalize the following matrices a) (0 0 -2 A = 1 2 1 1 0 3 b) 2 2 A = -2 -2 -2 1

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

Q: Are the two matrices similar? If so, find a matrix P such that B = P-1AP. (If not possible, enter…

A: Use eigenvalues and eigenvector to find matric P.

Q: Let A be the matrix 4 2 2 8 Find p(A). P() = -2x +4 124 128 P(A) = 128 580

A: We have to solve given problem:

Q: Consider the matrices of A= and B= The AB A I. II. IV. Select one: Oa. V O b. IIII Oc. O d. II Oe.…

A: Given : 2x2 matrices A and B  To find : AB-1AT = ?

Q: 20) Which of the following matrices has an inverse? 20) -2 1 A) B) C) 53.

A: Only square matrix with non-zero determinant has inverse.

Q: 3) Determine whether the following matrices are diagonalizable. [6 3 -8] a) A = |0 -2 [1 3. 2 -1 01…

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Q: 1 7 0 0 3 2 0 0 1 2 1 0 1 0 0 2 2 A = B = В — 0 0

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Q: 4 -5 11 37 4] B= -10 0 12. ,D=8 5 1 %3D 01 7 -11

A: Simple multiply accodingly all rows elements to column elements go Through the solution..

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

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Q: rank of the following matrices: 2 1 3 B= 20 2 1 1 2

A: We have to find out

Q: 27. Diagonalize the following matrices, if possible. 0 (a) L (b) 3] 5 (c) [13] 21 (d)

A: Given

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: Consider square matrices A & B where A#0, B÷0,AB=0. Show that |A|=0 or |B|=0. 6.

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Q: [1 2 3 5 6? Which of the following matrices are submatrices of A = 4 7 8. [; } 1 2 (c) 8 1 (a) 3 4…

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Q: 5. Given the matrices below, find B. A 2 1 2000000 A = 3 4 0000000 B = [5 -3 0]

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Q: Consider the matrices below and find the requested products if possible [8 2 [4 2 -2 5 A = 1, B = 1…

A: Two matrices can only be multiplied, if the number of columns of the first matrix is equal to the…

Q: By simple observation find the product of the three matrices. Explain. 0] [1 1 0 0 0 0 0 0 [ 2 0 1 3…

A: The matrix multiplication is possible only if the number of columns of the first matrix is equal to…

Q: Use the matrices below to perform matrix multiplication. 4 10 27 3 10 0 12 -3 5. If the opetation is…

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Q: Use the given matrices to find the expression. 3 4 9 A = |6 9 3 \7 2 8, 7 7 3 C = |3 8 1 ; A + C 4…

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Q: 1 3 (b) If possible, express A = 2 3 product of elementary matrices.. as a

A: The given matrix is A=1323.

Q: Let A 0 B² 0 Which of the following matrices are defined? A² OAXB OBXA -1 and B :)

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Q: use the matrices below to perform matrix multiplication   B= [ 2  6  3]                  D= [3  -4…

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Q: Find if possible the matrices: a. AB   b. BA.

A: It is given that, A=243142  and  B=320-1-35 We have to find if possible the matrices:     a. AB   b.…

Q: 1. Find the rank of the following matrices -2 [ 1 2 3 1 2 -2 -3 -1 3 2 (i) ( ii) -2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: TRUE/FALSE If A and B are n × n matrices, then (A − B)2 = A2 − 2AB + B2.

A: FALSE, A and B are square matrix, (A−B)2=(A−B)(A−B) =A2−AB−BA+B2

Q: -1 3 Find the product of matrices of A = 1 and B = -1 3 -1 O

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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…

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Q: Express the matrix 1 0 A = and its inverse as a product of two elementary matrices. The matrix A can…

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Q: Perform the indicated operation, if possible.  [3  8   13   1]         [1   3   6   10] [5   4…

A: Note: It is assumed that the first matrix is 3813154-2522010 and the second matrix is…

Q: Determine if the matrices below are in echelon form, reduced echelon form, or neither. [1 0 1 0 |1 0…

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Q: 3. a. Give an example of two 2 × 2 matrices such that (A+ B)(A – B) # A² – B² b. State a valid…

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Q: For what value of a do the following matrices commute? —За 2 A = B = -3 -3 -2

A: Given two matrices A and B The two matrices are commute when           AB = BA

Q: Which of the following matrices is negative definite? 3 0 -1 3 (C) -6 (D) 3 1 (A) 0 (B) 0 1 -17 0 0…

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