(²21) 1 of the matrix B x A? Let A = and B = 1 0 What is the entry on the row 2 and column

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: -3 A -2 4)

A: Given,            A=-36-24To find : The inverse of the matrix.

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

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Q: Let x1, x2, x3, and b be the column matrices.Find constants a, b, and c such that ax1 + bx2 + cx3 =…

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Q: B- Find the matrix A :- 3. A + -5 4 1. -1 3.

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Q: Express the quadratic form (c₁x₁ + C₂X₂ + ... + Сnn)² in the matrix notation TA, where A is…

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Q: Let A = {ª₁,2,ª3} and B = a₁ =3b₁ b₂, a₂ = − b₁ + 5b₂ + b3, a3 = b₂ − 2b3. a. Find the…

A: a. Find the change-of-coordinates matrix from A to B.b. Find [x]b for x = 2a₁ +3a2+ a3.

Q: 8. (3pts) Let A and B be arbitrary n x n matrices. Multiply (A – B)(A+ B).

A: As we know that (A-B)(A+B) = AA+AB-BA-BB=A2+AB-BA-B2here AB need not to be equal to the BA. Because…

Q: Express column 6 as a linear combination of columns 2, 4, and 5. 012002 4= = 2 6 7 000 106 000017…

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Q: -4x – y – 6z = -39 -9x + 7y + 4z = 47 – 7x – 6y + z = -52

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

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Q: a B 8 6. Consider the matrices X- and Y= a e 3 21 bdf the first row and second column of the matrix…

A: We have to find the entry in 1st row and 2nd column of matrix XY and YX .

Q: (b) Let A be an m × n matrix. Prove that row(A)- = null(A). =

A: Given information: Matrix A is of order m×n. To prove: rowA⊥=nullA Orthogonal complement: Consider V…

Q: Express Ac as a linear combination of the columns of A.

A: Given A=2-34-1235-1-2   C=214

Q: In this case, h = [1-8 9 6 9 -6 2 -6 -1 0 4 [1 -8 0 9 9 6 -6 2 26 -37 -25 a. State the elementary…

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Q: O Solve the following matrix equation for the matrix X: +2X + 2 3 diag(2,3) 8 6

A: We will solve this equation and find the value of matrix X.

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: 1 6. Given that A = -1 and B = Which of these matrices equal (AB)'? -2 0 (c) 0. (a) 0. (b) (d) -2 -2…

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Q: 3 Construct a 3 x 3 nonzero matrix A such that the vector 2 is a solution of Ax = 0. A = [(1,2,3),…

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Q: 7. 2 1 -1 2 Matrix + 2 Matrix -1 3 11

A: Topic:- matrix addition

Q: Write down the quadratic form that corresponds to the following 4 -1 -3 -3 1 324

A: The given matrix is, A=3242-1-34-31. The quadratic form of the matrix A is Q(x)=xTAx, where…

Q: If A and B are n x n matrices, then (AB)T = A. AT BT B. AT + BT C. (BA)T D. BT AT

A: given  A and B are n×n matrix

Q: Find the transpose of each matrix.

A: To find transpose of a given matrix interchange its rows and columns  a. b.

Q: find the unknown X the tow equal matries 8. atb 9. laubl 46

A: Consider the given information.

Q: 1 3 Find a QR factorization of the matrix A = 1 4 0 2

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Q: Express the column matrix b as a linear combination of the columns of A. (Use A₁, A2, and A3…

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