5. Suppose that A is a 5x5 matrix with real entries and det(A)=7. a. What is the det(2A)? b. What is the det(A¯1)? c. What is the det(A" A)?

Q: • The Matrix B from 3 x 2 at by = 1- is 1. 3. 4. 1 -2

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Q: |8 3 | 2 7 al, where a is tity matrix, its %D

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Q: 4. If det(Adj(A)) = then what is det (A-1) if A is a (4 × 4) matrix?

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Q: If A is a 5 x 6 matrix and the sum A + B can be computed, what is the size of B?

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Q: 17- Let A be 5 x 5 matrix and det(4) = 2. What is the value of der(24)? a) 128 b) 32 16 64 LEave…

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Q: Suppose A is 17x17 matrix with A^29=0 Then A^17=0.

A: Here given that A is 17×17 matrix and A29=0.

Q: If matrix A is 12 xc and matrix K is 4 x t, their product AK is r x 7, what are the values of c, t,…

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Q: Let A be square matrix. If A" = 0. A= Oava %3D for n> 2. Then

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Q: 4. Find the standard matrix for T where Ta2) =(2x,+x -2,).

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Q: In the Attached Problem, show that the matrix A is nilpotent and then use this fact to find the…

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Q: 2. Analyze first the given matrix and identify the most appropriate tool to use and why. -1 2 4 3 2…

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Q: |a b X y m nl

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Q: Suppose that A is an m x n matrix and B is an n x m matrix. Then the equation (AB) = ATBT is always…

A: Multiplication Property of transpose : We know that the transpose of a produce of two matrices will…

Q: Suppose that we use the LU-decomposition of a matrix A as displayed below to solve Ax = b in two…

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Q: 3. 3 If A is non singular matrix whose mverse 2. Al = fad A.

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Q: Suppose A is a 5 x 5 nonsingular matrix, and Bis the result of exchanging the second and fourth rows…

A: If a matrix A is non-singular then all the rows and all the columns  of A are linearly independent.

Q: Suppose matrix A is m×n and B is n×p. If the first row of matrix A is all zeros, what can you say…

A: Explanation:Since matrix A is m×n and matrix B is n×p, the matrix AB will be m×p.In order to get the…

Q: 2 if A=| -3 -2 4 and B= 1 ,find the Matrix X such that 3A+4X=5B 1 3

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Q: Q1: Given that A = [3 -3 -5] and B = 5,what is the matrix A- BT?

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Q: 6. If A is a 4 x 2 matrix and B is a 3 x 2 matrix, what is the size of ABT?

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Q: Let A be an m×n matrix such that Ax​=b and Ax​=c each have a solution for some choice of b and c in…

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Q: 6. Suppose that A is a 3 x 4 matrix. а. Is it possible that dim Nul(A) = 0? b. If dim Nul(A) = 1,…

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Q: If A is a 6 × 8 matrix, what is the smallest possible dimension of Nul A?

A: Consider the provided matrix, Given, A is a 6 x 8 matrix. Since, the rank of A equals the number of…

Q: Let A be a 3 x 10 matrix, and let B be m x n. Suppose that B'A' is a 21 x 3 matrix. What is the…

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Q: The owner decides he wants to employ only new trainee staff. He also wants only new trainee staff…

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Q: If B arises from a matrix A by elementary row operations, what is the relationship between NS(A) and…

A: Given matrix B arises from a matrix A by elementary row operation. We have to find the relationship…

Q: • The Matrix B from 3 × 2 at bj = 1 - is го 1. 2 2. 7 3. -1 4. 1 1 -2 2 3 4

A: concept of matrix  bij=1-i/j , the entries of matrix B is b11,b12,b21,b22,b31,b32

Q: If A is an m x p matrix and B is a p x n matrix, then their product AB will be?

A: Two matrix can only be miltiplied if number of column of first matrix is equal to number of row of…

Q: If AT = A-1, where A is a real matrix, then A is

A: When transpose of A equal inverse of A , then A is

Q: (4) If A is a 3 × 8 matrix with rank 3, what are dimNulA, dimColA, and dimRow A? (5) If A is a 2019…

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Q: [2 Given the matrix

A: As per the instructions, we will be solving only the first question. We will be solving 2131xy=21.…

Q: 18. Let A be a 3 x 5 matrix with 2 pivots. What is the dimension of Nul(A)?

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Q: 4 Is the matrix a linear combination of the ma- 3 and 1 ? Justify your answer. trices

A: A matrix A can be expresses as a linear combination of two matrices B and C, if and only if there…

Q: 9) If A is n x n matrix, what is the cost of calculating 3A3 2A

A: Given: If A is n x n matrix, the objective is to find the cost of calculating 3A2-2A

Q: O If A is possi ble value of dim Nul AT ? Please explain an 8x 5 matrix, what is

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Q: 3- If A² [45] [95] 091 (1 find A where A is UPF triangula matrix

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Q: 1. Suppose (B – C) D = 0, where B and C are m x n matrix and D is invertible. Show B = C

A: ( B - C )D = 0 where B and C are m × n matrix and D is invertible.  Then, we have to prove that B =…

Q: 3. Choose the matrix that is equal to the matrix below. 0.82 2 12 4 5 9 19 082 2 0.6 [B] 12 4 10 3…

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Q: 13. Suppose that a 3 × 3 matrix A factors into a product 1 0 1 Determine the value of det(A).

A: It is known that for n×n matrices A and B detAB=detAdetB                      (i) Given…

Q: Suppose that A is a 3×3 matrix and det (A) = -4. What is det (4A)?

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: Q1/ Find the matrix below: -5x+2y-4z=5 3x+5y-2z=0 -2y-8z=3

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Q: 17 - Which of the equations given below on the multiplyability of the matrices shown with their…

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Q: -0 의 B=[ 1 c=, 이1 1-0 1.where j--T, expres (a) Q3/B: If A = A.B, (b) B. C, (c) C.A and (d) A² in…

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Q: If A is what a matrix satis fying A3= A about det A7 %3D can you say

A: We have to find determinants

Q: 3. Suppose A is an m x n matrix whose rows are all identical and B is an n x p matrix whose columns…

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Q: Given the matrix a – 2 3 - a 4+ a A = a +5 2а +9 -а-1 2а- 3 3+а 8 - a 1+ a For what values of a is A…

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Q: 8. If A is an mx n matrix, wh

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

Q: Consider an n x p matrix A and a p x m matrix B. If ker(A)-im(B), what can you say about the produet…

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Q: If A is a 2 x 2 skew symmetric matrix, must det(A) = 0?

A: we have a 2×2 skew symmetric matrix.