Compute the inverse of the matrix A = -2 -9 7 or state 1 -9 nat A is singular. s the matrix A singular? | Nov ? ? 4-1 =| ? ?

Q: Write B as a linear combination of the other matrices, if possible. (If not, enter DNE in all…

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Q: For which values of the constants b and c is the follow- ing matrix invertible? 1 b -1 -b

A: The given matrix is 01b-10c-b-c0

Q: use some form of technology to show that the given matrix is nondefective

A: Given : A=ababababa To Show : A is non-defective.

Q: Consider the basis S = {v1, v2} for R?, where vI = (-2, 1) and v2 = %3D (1, 3), %3D and let T : R?→…

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Q: Find the matrix A if 3 1 4 A = 11 00

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Q: 1 Find a matrix P that satisfies P 1 9 1 2 0 3 0 900 23 1 7 1 1

A: We have to find the matrix P that satisfies the given equation.

Q: Determine if the matrix is nonsingular. Explain. [1 3 21 1 4 l1 -7 21

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Q: [2 3 4 A = 13 | من بن 2]

A: Tje solution is given in the next step.

Q: What row operation does left-multiplication by the elementary matrix [1 0 0 0] 0 1 0 0 02 10 0 0 0…

A: We have given partially row operated matrix Q asThree types of Elementary row operation:Interchange…

Q: Show that A and B are not similar matrices

A: Given matrix is The characteristic polynomial of matrix A is

Q: Let A be a real 2 x 2 matrix satisfying A? - 4A = 0, where O is the zero matrix. SKIP Find the…

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Q: Find matrix such that 5 3 -1] X+ 2 -3 1

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Q: to B=101 t00 select all true •If AB =Ithen BA=I AB=I 'AB=I but nut BA=I "BA-I inone of these %3D

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Q: Find the matrix A if 21 . 2. 1 3 1 3

A: 21-13A =4213Now we have to find the inverse of the matrix 21-13

Q: find A*B and B*A for the matrices A= 10 1 2 1 1 3 2 -1 B= 0 0 3 1 2 4 -1 -1 0

A: We have to find AB and BA for the matrices                                             A=10121132-1…

Q: Diagonalize the following matrix: 1 7 - 1 13 5 -5 -7 - 1 7 not diagonalizable 6 0 0 -9 0 0 - 12 90 0…

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Q: Let (A-2)-1- where / is the identity matrix,then A= Select one: a. 0 3 7 3 2 2 3 3 REDMI NOTE 8 PRO…

A: Explanation of the answer is as follows

Q: Find a non -2ERO 2x2 matRix A ouch +hat A2 = A=

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Q: 2. a) Let A = answer. [2]. Find the matrices A² and A³. What can be the matrix A"? Justify your -11

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Q: T:R→ R, 上X T2-2x3 C4 VTエA

A: Given that the  transformation :-

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: Compute the adjugate of the following matrix: -7 3 -6 0 0 0 0 0 0 0 0 0 adj -7 0 -2 %3D | 2 -8 4

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Q: -1 2 аnd AB 5 1. Find the matrix B. 3 Let A = 6 -9

A: This is a problem of matrix multiplication. Based on the general formula we will solve the question.

Q: Use the fact that matrices A and B are row-equivalent. 1 2 1 5 1 2 A = 3 1 7 2 2 -2 11 25 8 -1 8 1 0…

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Q: Determine whether the matrix is symmetric.

A: Now the transpose of this matrix is,

Q: 15. Diagonalize the matrix A = 11 expressing it similar to a diagonal matrix D. "

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Q: Is the following matrix 'B' diagonalizable?

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Q: Find the transpose of the matrix. 1 2 6 4     2 7 6 5 6 6 7 0 4 5 0 6

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Q: 2. つ

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Q: Diagonalize the matrix [5 -14] 4 -10 A = by writing it as A = PDP-¹ P = D = P-1 =

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Q: Express the matrix A-¹ as a product of elementary matrices using In= EkEk-1...E₁A. 100 220 313 A =

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Q: (A" – 21) * - | ) 3. Determine the matrix A if

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Q: A = 4 -3 -5 1 8 52 2 3 -1

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Q: 3.) Find the inverse matrix? 2 Use the adjugate of A = 0 -2 1 to find A-1 | 1 0 0 - 2 3.

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Q: Use the fact that matrices A and B are row-equivalent. -2 -5 8 0 -17 1 -5 1 5 A = -5 -11 17 3 -53 1…

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Q: N.N て1 て てー -3 こ 1. そー ) Find oenk of the matrix p

A: See the attachment