Write the matrix corresponding to the following linear transformations. 21 2-ES Y2 3x3 -1 3 0. 2 -1 -1 3 -1 -1 201 201 NOL 20

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

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Q: Determine whether the following matrices are in echelon form, reduced echelon form or not in echelon…

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Q: Diagonalize the matrix -9-61 A = - 12 9 by writing it as A = PDP-1 P = D =

A: Step 1:

Q: 1 Perform the row operation R₁ and replace R₁ on the following matrix. 2 20016 0803 0056

A: The matrix

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

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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: 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: The linear transformation 2x y T 3z+w X - w is written as a matrix multiplication T : A What is the…

A: The linear transformation,Txyzw=2x3z+wx-w

Q: Use row reduction to transform the matrix into RREF 3 6 4 -5 3 -7 8 -5 8 3 -9 12 -9 6 15

A: The given matrix is: 03-664-53-78-5893-912-9615 The RREF is a reduced row echelon form of the matrix…

Q: Rewrite the simultaneous linear equations above b. Hence, calculate the inverse of the above matrix.…

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Q: Characterize the image and kernel of the following matrices: 1 (443) -2 2 2

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Q: Find the standard matrix of the linear transformation. -131-1; -Y x + 2y 7x - 5y

A: As the linear transformation is from R2 to R3, the standard basis is (0, 1) and (1, 0) So, here…

Q: iagonalize the following matrix: 21 4 1-4 31 -1 24001₁ 111-12 C - 0

A: A matrix is diagonalizable if A.m. of each eigen value = g.m. of corresponding eigen value

Q: Find the inverse of the matrix A 2 1 3 00 00 4 3 -1 1 3 1 1 4

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Q: (c) Using matrices, find the images of the points (1,7), (-4,5) and (8,2) under a translation of +6…

A: Write the matrix as x and y coordinate. Then proceed  xy = 1-48752

Q: x-7 y = 4 3. X-9y-4

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Q: Find the matrix M of the linear transformation T : R³ → R² given by - (E) 6x1+ x2+ (-5)æz 8x1+ 3x3 M…

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Q: Express A as a product of elementary matrices where 3 A = [2²4] 1 And express each elementary matrix…

A: Let us find the elementary matrices.

Q: Use the given row transformation to transform the following matrix. Do not use a calculator. 159 3-5

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Q: Set up the matrix which will perform the following transformation and write down its character. (x…

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Q: Find the matrix M of the linear transformation T : R² → R² given by 6x1+ 8x2 -7x1+ x2. T М —

A: We have to find the matrix of linear transformation.

Q: (-1 7 -5 7. Let A = -4 11 -6). Diagonalize A if possible or explain why the matrix A is not -4 8 -3.…

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Q: 7 represents a reflection about the line x + y = 0 in R2. What trans- formation is the inverse of…

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Q: Find the B-matrix for the transformation x-Ax when B=(b₁,b₂, b3}. A= -7 -72 1 17 -4 -72-21 The…

A: Solution :-

Q: Suppose that vertices of a hut-shaped triangle on a computer screen are given by the coordinates (1,…

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