d the B-matrix for the transformation XHAX when B= {b1, b2, b3}. 9 - 88 -22 - 4 - 3 4 A = 1 19 b1 1 1 b3 1 %3D %3D - 4 - 80 - 25 - 4 -4 ..... eB-matrix is

Q: [5] Find three different 2 by 2 matrices that have A₁ = A₂ = 0.

A: Three different 2×2 matrices that have λ1=λ2=0 i.e, both eigen values are 0 are 0100,0020 and -4-284

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

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Q: 2. Find the matrix product, if possible. 7 [-926] 0 -3

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Q: What is the transformation given by the following matrix 1000 0 1 0 0 0 0 -1 0 0001 Reflection about…

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Q: 4. Consider the matrix 1 0 0 0 0 0 -2a -a (a² + a) 0 (2-a²) - (2-a²) -2a (2-a²) 2+ 4a - a² Find all…

A: 4) Solution:According to the given data, find the all values of a for which given matrix is psd.

Q: Find the inverses of the matrices or show that they do not exist. -5 -3 1 -2 A B= = 1 6 = 2 -3

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Q: 1 1 Diagonalize the matrix A = using a similarity transformation. Give the transformation matrices…

A: (D,C) = ( [ 8   0 , 0   2 ] , [ 1/7   1 , 1   1 ] )

Q: x- y+10z = 29 x+ y+2=6

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Q: Determine whether or not the matrices [5 -3 [5 -1 2 -1 and |4 1 -2 are similar. 3 |2 -1 2 Choose

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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: Find the following matrix product. Be careful to distinguish 2 x 2 matrices in the answers from 2 x…

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Q: 2. Diagonalize each matrix, if possible. Give the similarity transformation. 7 4 (a) -6 (b) [ (c) 4…

A: Given A, we have to find M such that M-1AM is diagonal A=74-6-3 ∴A-λI=0⇒7-λ4-6-λ-3=0⇒λ-3λ-1=0⇒λ=3,1…

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 standard matrix of a linear transformation T: R³ R4 given by the formula -x₁ + x₂ + x3 3x1…

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Q: <= [-5 1 is the product X = E₁ E₂E3 of elementary matrices E₁, E2, E3, find -5 35 E₁ = If x= 03-894…

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Q: Diagonalize the following matrix: 1 13 5 7 -5 -7 -1 -1 7 90 06 0 00-12 060 − 1 1 − 1| -1 0 1 1 10 1…

A: Given matrix 11357-5-7-1-17

Q: A. Let T be a triangle with vertices (3,1) (2,1) and (0,-4). Find and sketch the images of the…

A:

Q: and x + x²? (a) 3+x²+2x¹ (b) 2 + x − 3x² + x³ (c) 2+x+x³ (d) 3+x-2x² + 3x³ 4. The space of 4-by-4…

A:

Q: Find the B-matrix for the transformation xAx, where B={b₁,b₂}. -3- 42 43 4 22-[71] b₁ 2-1 2 The…

A: Given that   ,   ,    and                     The transformation is given as , so…

Q: 3. The following matrices are elementary matrices except (a) 1 0 1 0 (b) 5 1 (3 (c) 1 (d) -3 -

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Q: -1] 2 -3 -47 4. The matrix product 4 1 20 1.

A: We need to find matrix product.

Q: Find A-E and the elements from the matrices

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Q: compute the indicated matrices 3D - 2A

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Q: 1. Consider the matrices 0 4₁-(13), 1 3)₁ 4₂2 - ( -8 -2) ₁4₁ = (3-2). 0 1 3 -5 -4 A₁-(3) -4 0 and A4…

A: We have to match the given matrix with the function represented in the graph

Q: Suppose T is a linear transformation such that -5 6 -31 [3] 1 T-13 = -3 T-8 = 1 and T-2 0 0 5 6 1…

A:

Q: Find 2A-l if we have the matrix 2 1

A: A=32102A=232102A=2×32×22×12×02A=6420

Q: Consider the following initial value problem. y" + 8y' + 41y = 8(tn) + 8(t - 5m), y(0) = 1, y'(0) =…

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Q: -P 3. Let A = 31 2 -1 3 3 -2 1 and B-22 1 0 -1 2 0 1 Determine a single matrix which induces the…

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Q: Find the matrix product AB, if it is defined. -13 A = = ^-[-22] -B- (-:22] I -16 -64 6-1 4-6 2-6 1…

A: Given query is to find the product of the matrix.

Q: 3. Find the indicated matrix product or state that the product is undefined. 52 A = [3]. B = [-53]…

A: Given matrices are          A = 99  and B = 52-63    So A is 2×1 matrix and B is 2 × 2 matrix .

Q: 2 3 1

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Q: Suppose A is a 3 × 5 matrix, and B is a 5 x 3 matrix. Assuming that A, B act on vectors in IR",…

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Q: Find the B-matrix for the transformation x+Ax, where B={b₁,b₂}. -6 1 ^-[²31] A= [3] b₂ 2-[:] b₁ The…

A: To find the B-matrix for the transformation x↦Ax where B=b1, b2. Here A=-6131, b1=-1-1, b2=-2-1 Now…

Q: Find matrices A and B for which rank(A) = rank(B), but rank(A?) + rank(B²).

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Q: Let 0. A = |0 -11 -6 1 Write A as a product of elementary matrices. 2. 4)

A: