Find matrix P and D (if possible) where P dia resulting to D. Prove the diagonalization and all solutions, relevant values and proofs, and A = -4 -3 -3 0 -1 0 6 6 5

Q: Find a nontrivial solution of v¹Q = 0¹ using the fact that the first and second rows of Q are…

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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 the matrix of the quadratic form. Assume x is in R?. a. 3x - 8x,x2 + 2x3 b. 5x, + 18x,x2

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Q: The matrix on the right results after performing a single row operation on the matrix on the left. 0…

A: Given:  row operation produces: To Find: To identify the row opeartion to be used.

Q: Perform the given row operations: -6 -5 -4 - 6° 1) - 3 2 R2 + R1 7 - 4 4 7 -7 -6 3 5R3 → R3 -7] 2) 6…

A: To perform the given row operations.

Q: If matrix A is 12 xc and matrix K is 4 x t, their product AK is r x 7, what are the values of c, t,…

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Q: Find the matrix of the quadratic form. Assume x is in R³. a. 2x² +8x² − 3x²3 - 10x₁ x₂ + 8x₁×3 −…

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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: Let A 1 2 −1 -2 3 -2 -1 1 1 Diagonalize A to find A100.

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Q: 3 [-301 2. Let u --- and - 6, and w=-30. It can be shown that 14 -2u - 6v-w=0. Use this fact (and no…

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Q: Find the values of c1, c2, and c3 so that c1 (4, –6, 2) + c2(-4, 3, 0) + c3 (-2,0, 0) = (-4, –3,…

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Q: -33 28 22 that 5u - 6vw = 0. Use this fact (and no row operations) to find X1 3 8 -33 and 2 that…

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Q: Fill in the missing entries by performing the indicated row operations to obtain the row-reduced…

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Q: Solve with matrices. 5x−3y=18 and 2x+7y=−1 Indicate each matrix with the vertical bar (|) symbol…

A: Given system of equation  5x-3y=18  2x+7y=-1we solve by matrix

Q: Find A- using row operations or adjoint method. -1 2 61 2 6 1 A = 1 6 4]

A: We will find A-1 using the adjoint method The formula for A-1 is A-1=adjAA Now, A=-126261164 Now,…

Q: In Problems 1-12, find both a basis for the row space and a basis for the column space of the given…

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Q: State the next elementary row operation that should be performed in order to put the matrix into…

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Q: -4 -1 1 Identify the elements on the main diagonal. 11 2 0 5 -6 -7

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Q: Give the matrix representing the relation in the previous problem. Label the rows and columns.

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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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