QUESTION 6 For which value(s) of a will the matrix O 2a A = a+2 1 be orthogonally diagonalizable? O1. a+1- O II. a=0- O II. a +2- O Iv. None of the other options. OV. a= VI. For no values of a. 1· O VI. For all values of a. O VII. a =2-

Q: Find w such that 2u + v 3w = 0. W = u = (2, 0, 0, -6), v = (-3, 5, 1, 0) 151 3'3'3' - X

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Q: -2 6. What is the diagonal matrix Find an orthogonal matrix Q that diagonalizes A = 6. A?

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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: 4x+5y+4z = 8 3x+3y+ z =-9 5x+5y+2z = -1 Write the augmented matrix:

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Q: Consider the matrix A= Calculate a31 Calculate 932 755 826 5 2 6 e 9 dh n bf a

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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: Let A and B be two square matrices of order n over a fiéid F and AEF Then (I) tr (AA)=d Ir A; (2) Ir…

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Q: Ex. 600. Given the 2x2 Matrix A 1 2 11 3 Determine B=A+A and C=A-A Answers:…

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Q: Which one is not an elementary row operation? O A. Interchanging two rows of a matrix. O B. Adding a…

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Q: We call a matrix B a square root of A if B2 = A.

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Q: 9. Do the columns of the matrix A = 7. span R

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

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Q: 12. Find A + B, where -1 3 5 2, B = 0 -2 -3 0 5 2 -3 2 -3 a) A =-1 9 -3 b) A = B = -4 -3 5 -2 -1

A: a) Given A = 104-1220-2-3B = -13522-32-30 Then A+B = 104-1220-2-3+-13522-32-30=…

Q: 4. A = -1 0 5-2 245 0 -3 , B= 7 650 -3 -4 2 -1,c=7,d=5 7 9

A: we are given the matrices and we need to find out the matrix cA+dB

Q: Determine the matrix if it is a linear combination of O A.c = 5; d = 8 O B. c = -5;d =8 O C.c = 8; d…

A: 12cd = a1-1-1-1 +b3159 + m41611 + n-1234 Therefore, we get a+3b+4m-n = 1…

Q: 2 Consider the matrix below. What is the value of 2a11 – 3a22+ a32 =? - 5 A = (aj) -1 3 -1 b) 4 d)…

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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: 5. Diagonalize the following matrix. 3 B = -3 4 9

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Q: D. I -5 -2 What is the reduced row ectielon form of B 12 4. 21. Let matrix B=

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Q: Find the transpose of the resulting matrix: -100 A = 2 3 4 x 5 2 5-4

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Q: 3. Let [1 2 3 A = |4 5 6 7 8 9 (a) What is Aēj? Present it as a linear combination of the columns of…

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Q: 1. A = 2. 0 2 1 4 1 -4 -1 -3 [1 B = 3 3 3 3 -3 97 10 10 -7 12 -1 9 -7 -6 2 2 2 -10

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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: Which one of the following is an upper triangular matrix? .a 5 3 1 0 -5 2.6 0 0 5 .b

A: Upper triangular matrix is the matrix in which the values below the main diagonal are zero and the…

Q: Express this system of equations in matrix form. Qai Qs1 Qai Qa2 a1 – bịP1 + eP2 = -c1 + d¡P1 Qs1 |…

A: First we simplify the equations and then find matrix form.

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: 3. Let A=1 -1 4 -3 7 and B= 6 -24 -6 18 Find the matrix X that satisfies the matrix equation…

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Q: Find R = A + B, given that A has magnitude 4 and is at an angle of 30° above the positive x-axis and…

A: Let a vector be defined as: a=x, y. The magnitude of a is calculated using the formula: r=x2+y2.…