Suppose T: R2 - R² is a horizontal sheer linear transformation that leaves ₁ unchanged but maps e2 into 2 - 5e1. Find the standard matrix, A, of T. 1 A -5 -4 X

Q: Find the change-of-coordinates matrix from B to the standard basis in R². -5 1 •(3][4]} - PB B= -188…

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Q: Let A = 2 1 54 Write 5A. Is det(5A) equal to 5det(A)? 5A= (Type an integer or decimal for each…

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Q: Show that any two rows of a matrix can be interchanged by elementary row transformations of the…

A: According to the question,

Q: 4 Is the matrix A = -3 O Yes O No 1-3 1-3 2 -1 -4, invertible?

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Q: c. Find an orthogonal diagonalization of the symmetric matrix 1 -2 0 A = -2 1 4

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Q: Demonstrate that A A-1 = A-1 A = I

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Q: and the SUD of the following am A= 11 94040 220

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Q: Let A and B be matrices of the form: b, b, b 12 13 ba bz ba b, bz ba A= B= 43 a b4 b. ba Consider…

A: Yes, This is a linear Transformation from R6 -> R9 .

Q: Let 0 9. A = = [6 0 Is it possible to find a two by two real matrix B such that A = eB₂

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Q: 3 0 A =|-3 7] 1 -1 2 4 91

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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: 2x₁ + 4x₂x3 = 15 7x₁3x₂ + 3x3 = -4 4x13x28x3 = 19

A: Given: 2x1+4x2-x3=157x1-3x2+3x3=-44x1-3x2-8x3=19 We have to find the inverse of the coefficient…

Q: 1 Find the linear combination 2$1 +382 + 4s3 b. Then write b as a matrix-vector multiplication Sx.…

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Q: Find inverse of the following matrix-: b' а A =

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Q: 1 1 1 0100 0120 00 0 Let A = Write A as C DC , where D is a diagonal matrix. Hint: You can always…

A: Given : matrix A=1110010001200000 We have to write A as CDC-1, where D is a diagonal matrix.

Q: Let V = [- 7, – 7,0] and V½ = [0, 3, – 4]. Use the Gram- | Schmidt procedure to construct an ordered…

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Q: Find the inverse of the given matrix using Adjoint Matrix: 1 -1 0 0 -1 2 -1 0 0 -1 2 -1 0 0 -1 2

A: We know A-λI = 0 A-λI =    1-1   0   0-1   2-1   0  0-1   2-1  0  0-1   2-λ1000010000100001 = 0

Q: Find a 2 x 2 matrix such that 3 -2 -2 = 61

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Q: Let A = (a) and B = (A + B)(A + B) (b) A2 + 2AB + B² 3) Let A2 and B2 denote the matrix products AA…

A: A=5423B=8759

Q: A=(41] [4] ( )= (-1) [₂] + (3) [₂] 2

A: Matrix multiplication is possible if we have two matrices A and B such that, order of A =m×n;order…

Q: Find ∣A−1∣ for the matrix

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Q: Find an invertible matrix X and a diagonal matrix D such that X-1 AX = D. You don't need to compute…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: [121] In other words, write A = SDS-¹ = SDSt where D is a diagonal matrix and S is an isome- try.…

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Q: Find the inverse of the matrix 2 A= 2 -3-3 -31

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Q: ค" ? o - 3 A = %3D 2 -2 -13 %3D

A: We will solve this question using gauss Jordan method.

Q: 1 0 2 -2 3 1 3X +|2 1 3 -1 -2 0 4 -1 5 1 5 II

A: The given equation is,

Q: Find a matrix X such that AX=B 0 6 A = [²2 -B = [1 2 ] 91 L7 8. 4

A: Given that we have to find a matrix  .Obviously order of the matrix  is .Let Now so  ,

Q: = 1 -2 2 00 0 -1 0 0 -1

A: Given that A=

Q: ebra to show that for n x n matrices A,B,C and n x 1 vector rtible and ABC then the matrix equation…

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Q: Let 3 A = -1 -1 3 -1 -1 3 (a) Find a matrix P that orthogonally diagonalizes A. (b) Find B = P-¹AP…

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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: (kA)T = kAT. It makes no difference whether you multiply each element of matrix A before or after…

A: To Show kAT=kAT Consider A be a general matrix,  let us assume that A is a general  2×2 matrix, that…