Given A and B, compute AB, BA, BTAT, and ATBT. (If the answer does not exist, enter DNE in any cell of the matrix.) |-•-[- AB = BA = BTAT = ATBT: = A = -8 1 2 9 7-1 11 ↓1 11 10-7 -7 2

Q: Let: A = 3 0 -648 3-4 -8 Find S, D and S-1 such that A SDS, Starting with the first row, put the…

A: The given matrix is:A=⎣⎢⎡​3−63​04−4​08−8​⎦⎥⎤​ Now the characteristic equation of this matrix A…

Q: a) Find the matrix of the quadratic form. Assume x is in R3 5x3-x3 +7x3-5x1x2 -3x1x3

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Q: Determine whether the matrix -1 -1 -4 A -8 -3 -16 1 7 is diagonalizable. If A is diagonalizable,…

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Q: [2 -1 1] A = |1 1 2,x = |y| and b = |b2 [-1 5 4] a. Determine if the columns of the matrix A span…

A: We have to determine  whether the column of matrix A can span R^3

Q: 3. Let 1 B -1 Consider T : R²,2 → R²2 defined by T(A) = AB – BA. Let - 이 [0 [o o] [o o] [1 0] Bị and…

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Q: Q2] a) Write each (PRODUCT) of the following as a single matrix: i -17 2 -2 -1]-i -2 5] -2| -1 1 -1]…

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Q: Consider the following matrix: 1 7 6 -5 2 B = 3 4 3 1 1 6 -1 2 4 Using the adjoint method for…

A: Given that, B = 176-5243132106-124 First, we have to find inverse of the given matrix using adjoint…

Q: Let A be a 4 x 5 matrix. If a₁, a2, and a4 are linearly × independent and a3 = a₁ + 3a2, a5 U = = -…

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Q: 1 -2 1 -1 1 -1 1 -1 0 does the inverse of the matrix exist? en the matrix - answer is (input Yes or…

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Q: [3] 37 Let A = Write 2A. Is det(2A) equal to 2det(A)?

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Q: Compute the determinant of the matrix using the best possible method. Zmatrix ((2 -2 6 4)(2 3 7 1)(6…

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Q: 1 Find the linear combination 2$1 +382 + 4s3 b. Then write b as a matrix-vector multiplication Sx.…

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Q: .

A: A=02-123-2-1-20 To find: An orthogonal matrix U that diagonalizes .

Q: Let V = [- 7, – 7,0] and V½ = [0, 3, – 4]. Use the Gram- | Schmidt procedure to construct an ordered…

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Q: om: A is a matrix such that A2 + 5A 10. Show that A is invertible and A-1 = A + 51.

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Q: Let A = (a) and B = (A + B)(A + B) (b) A2 + 2AB + B² 3) Let A2 and B2 denote the matrix products AA…

A: A=5423B=8759

Q: Let A be an m × n matrix and r, s E R two scalars. Show the property that (r + s)A = rA + sA.

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Q: An identity matrix is represented by... . а. Нн-1 O b. HH-H C. H-H

A: Given

Q: Use the definition of Ax to write the vector equation as a matrix equation. X1 7 2 - 8 -5 + X2 - 3 9…

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

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Q: Find all matrices B that commute with 1 + i (¹+1) :). 0 A = That is, for which AB = BA.

A: Let B=abcd be the matrix such tghat AB=BA

Q: 1. Solve the following Matrix Operation: 2 -1 3 2 3 1 2 1 c= 4 3 2 3 5 A= 3 2 1 B= -1 4 -2 DD 10 3…

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Q: Determine whether the matrix is in echelon form, reduced echelon form, or neither. [1 0 2 4] 0 1-4…

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Q: Find a 2 × 2 matrix that maps e₁ to -3e2 and e2 to 2e1–e2.

A: The 2x2 matrix that maps e1 to -3e2 and e2 to 2e1 - e2 is [02​−3−1​]Explanation:

Q: Find the power of A for the matrixA16

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Q: Let A and B be square matrices of order 3 such that |A-| = x + 7 with x + -7 and |A * A" | = . What…

A: A and B are square matrices. Therefore, det(AB)=det(A).det(B) det(A)=det((A)T) We will use these…

Q: If A = B x C, find the matrix A. B [ 1 -3 -2 201 C ·[ 2 -2 3 1 -1 0

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Q: Find the matrix X, such that XDC - 2XC — ХС? + С satisfies. 3 4 4 6 6 5 C = 1 2 1 D = 1 3 -2 4 -2 -4…

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Q: 3.) Find the inverse matrix? 2 Use the adjugate of A = 0 -2 1 to find A-1 | 1 0 0 - 2 3.

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