Find Jordan-form representations of the following matrices: [i 4 101 1 Aj = 0 2 A2 1 0 0 -2 -4 0. 4 3 A3 =0 1 A4 = 20 16 0 0 0 -25 -20 that all except A, can be diagonalized. 902

Q: Let A and E be the 3 x 3 matrices: a [3 -- -- A = d ef and E = 0 9 h ก 10 b 01 1 0 0 1 Which of the…

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Q: (1) Find and classify the extremes value of f(x) = 6x* – 4x° over the interval [-2, 2). (2) A…

A: According to Bartleby Q/A guidelines, we only allow solving the first question if multiple questions…

Q: Determine which of the following matrices are in reduced form: 1 -2 4 6. 3 1 3 A = 1 -1 2 4 B= 1 0 0…

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Q: a) Consider the following matrices: 1 0 01 A =| 2 [1 0 01 0 0,B = |o 0 o,C Lo o 1. [o 0 01 2 ,D = |0…

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Q: 4 2 0 70 all oene tril(A, -1)+ eye(4). The third row of the matrix B is: Given the matrix A: 1 2 -1…

A: Let A = 1111111111111111 tril(A,-1) = 0000100011001110eye(4) = 1000010000100001

Q: 1 2 3 0 11 -2 3 5 1 78 o the columns span all possible 4 × 1 matrices?

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Q: 2-3 Find AB for each of the following metrices:- -lo DA•[ -21, 8-[] L 3 2) A= 3 4. 2 -33 5 13 1J

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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: Incorrectly, we usually say that when we multiply any number by ten we “add” a zero to the number.…

A: a) Jushua is wrong because the correct answer is 10×1.3=13 b) If a whole number is multiplied by 10…

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: Which of the following matrices are diagonalizable? Justify your claim. 5 -18 -32 a. M, = 0 5 4 2 -5…

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Q: Consider square matrices A & B where A#0, B#0,AB=0. Show that |A|=0 or |B|=0.

A: A matrix is a mathematical object containing numbers arranged in rows and columns. The order of a…

Q: A car costs x wholesale. The price the dealer pays is given by the function s(x) = = x-1 – 200 where…

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Q: Prove or disprove the following statements  i. If A and B are two n×n matrices, then (A + B)^2 = A^2…

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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: Which of the following matrices are in RREF? (: ) (1 10 7 0 1 9 0 0 1 1 14 1 1 - 1 0 0 5 1 1 10

A: Solution

Q: Find AB given the matrices * A = [, 31 [3 B = -4 2. [1 -2.

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Q: Let A.3 be 5x5 matrices such that det (A) = 7 and det(A)=-3. Find the following (1) det(2(A^B)')…

A: if A is an n×n matrix and det(A)=a thendet(kA)=kn×adet(A-1)=1adet(AT)=adet(adj A)=an-1

Q: -() --()-() 3 6 3 3 1 2 1 2 1 1 2 1 3 1 2 3 2 2 A = 3 1 2 В C = 4 4 3 4 4 3

A: Claim: We have to find E such that EA=Bi.e. E=BA-1 And F such that, FA=C i.e. F=CA-1 A=121312443then…

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: 6 -1 Evaluate ABT – 3C given that (2 -2 lo -1 2. -2 A = 6 -3 ‚B = and C = -12 7. 3. Use matrix…

A: To solve the given matrix problems.

Q: Consider the following matrices 2. 4 -4 2 4 B% = -3 0 5. (a) Compute 3A, BC. ЗА BC %3D

A: Solution-

Q: Exercises A. Consider the matrices below: 07 [1 C = 2 [1 A = 2 -11 2 B = 3 -1 7 5 11 5 3 [12 E = |2…

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Q: Make a change of variable, x = Py, that transforms the quadratic form 3x, + 14x, x, + 3x, into a…

A: To find the solution of the given problem we find the matrix representation of the quadratic form.…

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: 2. Compute both AB and BA for the following matrices, and observe that AB + BA: -1 [] B= B-[83] and

A: To compute AB and BA for the following matrices, and to observe that .

Q: Without actually finding the inverse, determine if each matrix below has an inverse or not. Please…

A: Given matrix is          convert the above matrix into echelon form by using row operators…

Q: Select ALL matrix multiplications that are valid given the following matrices: 1 2 3 2 ·B·-|-·* C =…

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

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Q: Select all of the following that are true for all nxn matrices A and B. AA²-A²A (A+BILA-B)-A²-B²…

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Q: Find the transpose, conjugate and tranjugate of the following matrices: # = √² = 3₁ 2 AT = 1-1 31 7…

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Q: rank of the following matrices: 2 1 3 B= 20 2 1 1 2

A: We have to find out

Q: -18 3 7 12 13 -2 3 9 11 5 3 4 8 -3 -15 7 8 4 8 -6 2 -8 6 -2 19 -8 26 -18 16 -13 7 4 Matrix A Matrix…

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Q: nts) Check the definiteness of the following matrices A and B; -1 1 1] A = |1 5 L3 0 5 0 B = 3 -1 2…

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Q: Consider the matrices shown below: Find the value of K such that 4 B-B2C-13 = 5 1 10 18 18 B-¹C – 15…

A: Given B=4-102 and C=142315We know that if A=abcd then A-1=1ad-bcd-b-caB-1=18+12104=192104