A factorization A = PDP is not unique. For A = Use this information with D₁ = 20 06 14 -24-6 4 one factorization is P = to find a matrix P₁ such that A = P₁D₁P₁¹. 1 -2 -3 60 02 and p-1 3 1 -2 -1

Q: find the elelment in the 3rd row and 1st column of the matrix cofactor 7 2 5 3 1 4 1 2 1

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Q: Find the LU factorization of -1 -5 -4 A = -5 -26 -18 That is, write A = LU where L is a lower…

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Q: Find the matrix A if 3 1 4 A = 11 00

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Q: Diagonalize the given matrix A and hence find A². 10 -2 -5] 2 3 3 5 A = -2 -5

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Q: Find a QR-factorisation of 1 1 -1 1 | 1 1 1 1 0 -

A: The given question is solved below.

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: If A and B are similar, then there exists a matrix P such that B = PAP. Use this fact to fi -2 2 -3…

A: Here we have to find B5 ,   We have to find if A and B are similar or not, if A and B are similar…

Q: REI [1.5 5 -151 2 30 -1 2 1 .5 and C= [-2]. -.5 16. For this problem, let A = a) Use your calculator…

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Q: Given the matrix 0 -5 11 6 Introduce the "- R" term to the diagonal of the matrix. -5 - R (A 11 - R…

A: Given query is to add -R in diagonal of matrix.

Q: Find a non -2ERO 2x2 matRix A ouch +hat A2 = A=

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Q: Express the quadratic form (c₁x₁ + €2₂x2 + ... + Cnn)² in the matrix notation TA, where A is…

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Q: * ( For the matrix shown find (- 3 A 3 - 1 4 1 A = %3D 1 1 6.

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Q: 32x+y -1 526 -1 x+4y 10

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Q: -1 2 аnd AB 5 1. Find the matrix B. 3 Let A = 6 -9

A: This is a problem of matrix multiplication. Based on the general formula we will solve the question.

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: Decide whether the matrix -7 1 4 A = -12 1 8 -10 1 7, is diagonalizable over R. If it is,…

A: -714-1218-1017

Q: Find the matrix A if 4 1     −1 3A =  3 4     1 2. A =

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Q: Find the matrix of the quadratic form. 5x + 3x² + 2x3-8X1X2 + X2X3 Select one: O A. 5 -4 1/27 -4 30…

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Q: H5. Consider the matrix 0 c-[98] C= -1 0 First, show that C² = -I and use this relationship to…

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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: Identify a matrix P that diagonalizes 2 6 A = a. 1 P = - 2 Ob. P = -1 0 0 2 Oc. P = 01 1 2 O d. -2 P…

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Q: Find the matrix A such that 10 [-13]4 ;]₁ = [ A -1 3 Hint: Let A = A = a b [26] d -1 -5 2 8

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Q: 3. Find of 35 + 4 (5-2)(ャ)

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Q: -2 -1 -2 Let M 2 -2 -3 Find c1, c2, and c3 such that -1 3 -1 M³ + c,M² + c2 M + c3I3 = 0, where I3…

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

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

Q: Find the matrix of the quadratic form. 2 4x1 + 6x +3x3-10x1x2 + X2X3 Select one: O A. O B. C. O D.…

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Q: Find the LDU factorization of -3 -6 A -15 -29 33 -15 22 That is, write A = LDU where L is a lower…

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