7. Given the following augmented matrix, list all the variables {x1, ... , X5}. Indicate which are free variable, and for the other variables, give an equation for each using the free variables. [1 -2 0 1 -5 1 0 0 -7 8 3 5

Q: If (AB)" = and A = find the matrix B. %3D

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Q: 3. Find the inverse of the matrix and verify that your answer correct. -1 0 4 - 5 8 -7 - 3 6 - 9

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Q: Let A =  -2 1     0 3     and    B =  2 -3     1 −2. Find a matrix X satisfying the matrix…

A: The given matrices, A=-2103 and B=2-31-2 We have to find the matrix X, that satisfies 2A+X=3B

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Q: Q2. For the matrix, A = (a) Find 2 Tr (2 A). (b) If A = 21 8 7 4 6 7 5 4 find (A)-².

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Q: Using row operation find the inverse of the matrix for any real number k [1 5 8 9] 7 2 6 8 M = 6 5 3…

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Q: 3 -3

A: An important fact about elementary matrices is that if a matrix A is invertible, then it can be…

Q: Let A = {ª₁,2,ª3} and B = a₁ =3b₁ b₂, a₂ = − b₁ + 5b₂ + b3, a3 = b₂ − 2b3. a. Find the…

A: a. Find the change-of-coordinates matrix from A to B.b. Find [x]b for x = 2a₁ +3a2+ a3.

Q: Diagonalize the following 3x3 matrix. [ {3,3,3},{3,3,3},{3,3,3}]

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Q: [1 -3 Determine the matrix -31 if it is a linear combination of a b

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Q: 12 (b) Given D = 2, decode the following message: Message: -1, 4, 30, -41, 39, -58, 22, -33, 31,…

A: Given: The given matrix is D=2-3-12. To find: b) We have to decode the following message: Message:…

Q: he transformed matrix is 0 1-2 (Simplify your answers.)

A: given matrix is :-112017-2then we have to change the first row by adding to it  -12  times the…

Q: 1 Let the matrix A= Find A2 5A + 312x2. - Select one: a.

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Q: Find A-5B. -7 9-4 6 - 6 B = 3 -4 -9 A= 3 -7 12 15 -10 A-5B% D 11 3. (Type an integer or decimal for…

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Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: Diagonalize the following matrix. [4] Select the correct choice below and, if necessary, fill in the…

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Q: Let A = [ 3*0 .8 = [ Jand C = [14-0 Jand c = [1* | Find the matrix X, if 8+0 -10 A? + 3X =C |B|

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Q: 10) Find the transpose of the resulting matrix: AE 4 x 5 -100 3 5 A = 2 2 a. -|-7 26 29 26 C. - 29 7…

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Q: In this case, h = [1-8 9 6 9 -6 2 -6 -1 0 4 [1 -8 0 9 9 6 -6 2 26 -37 -25 a. State the elementary…

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Q: add new column [0;0;0] to the matrix a[12 3, 45 6 ,7 8 9]. * Your answer

A: We have to add column [0;0;0] to the matrix a[1 2 3;4 5 6;7 8 9]

Q: Is the following matrix diagonalizable¹? 3 B=0 0 -3 1] 3 1 0 3

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Q: determine of matrix 4u -1 -1 2v

A: d is correct option

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A: Note: As multiple questions have been asked, so only first question 1 has been solved according to…

Q: (a) 2A + 3C (ط) B R

A: