Find an invertible matrix P and a diagonal matrix D such that P¯¹AP=D. 2 -4 -10 A = 0 -7 -24 - 02 7 000 000 P=000 D=000 000 000

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A: Step 1:

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Q: let Q(x)= x12 -8x1x2 -5x22 , then matrix A of the quadratic from is A=?

A: Explanation is given below..

Q: -3-9 9 adj -2 -7 1 1 -9 -10 1

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Q: Given A = 1 0 0 -3 1 1 1 - 2 -1 " x = and b = 300 150 400

A: Given that the system Ax=bHere A=1-3101-201-1 , b=300150400

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A: The objective is to find the matrix B. heck whether the matrix B is diagonalizable or not and also…

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

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Q: Consider the matrix: 1 2 -2 0 -1 3 4 1-1, Perform R3 - 2R2: 1 2 0 0 3 2 4 3

A: Given query is to perform the indicated matrix operation.