Given the matrix find A³. Write A³ as input your answer below: -1 a 11 a12 = 8 a21 = 0 a22 = -27 A A³ = [3] 0 -3 = a11 a21 a 12 a22]

Q: Find the matrix of the quadratic form. Assume x is in R°. 5x - 4x3 + 3x3 + 18x,x2 - 4x,×3 b. 3x -…

A: We want to find matrix of given quadratic form.

Q: " Find a QR factorization of the matrix: 02-10 11 20 0200

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Q: Perform the row operation R₁ and replace R₁ on the following matrix. 700 28 05 06 0058 700 28 05 06…

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Q: Write x = -t³x2, x, = 4t³x2 in matrix notation. Solve and write the solution in matrix notation.

A: We are given a system of nonlinear first order differential equations : x1' = -t3x2  and  x2' =…

Q: 1. Solve with matrices: -7x₁ +5x2 - 6x3 = 3 5x12x2 + 3x3 = 5 X1 X2 + x3 = -2

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Q: 2X + 3Y – 2Z = 5 5Y + 3Z = -2 4X – 3Y + Z = 1

A: Matrix form is 2 3 -2 5 0 5 3 -2 4 -3 1 1

Q: +2x2 +2x3 +3x5 +3x6 0. -4x6 -x4 +2x5 -7x5 -7 *1 +2x2 +7x6

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Q: Perform the matrix operation. 2-4 9-8 Let A = -2 -5 and B-6-6. Find A + B. 3 5 -7-4

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Q: Find matrix X:   3.     6     5     4     -2   *X=     18     49     -20     6

A: The detailed solution is given below Thank you

Q: Find the inverse of the matrix:   2.     6     8     5     7

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Q: Given the matrix: A= [1 -2 1 3]. Perform the operation

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Q: Diagonalize the following matrix, and then find A¹0. A = 1 6 0 -

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