P = Let A = -15 -24 -12 8 0 13 0 8 -3 Find an invertible matrix P and a diagonal matrix D such that D = P-¹AP. D =

Q: 9. A = -2 2

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Q: 32x+y -1 526 -1 x+4y 10

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Q: -5 4] -5 2 1 ||

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Q: Consider the matrix A Calculate A¹00 if = (-5,-4,5). 1 6 2 -1 0

A: Introduction: The power of a matrix is very significant in matrix calculations. It involves the…

Q: ebra to show that for n x n matrices A,B,C and n x 1 vector rtible and ABC then the matrix equation…

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Q: matrix A if (A" – 21)* = } Determine the matrix A if %3D

A: Given,             12AT-2I-1=1234To find : The matrix A.

Q: Identify a matrix P that diagonalizes 2 6 A = a. 1 P = - 2 Ob. P = -1 0 0 2 Oc. P = 01 1 2 O d. -2 P…

A: Solution

Q: Determine all the n × n− matrix A with the range such that A2 = A.

A: Clearly the zero matrix and identity matrix are the trivial examples of our problems. However there…

Q: Find all real numbers a, b for which the matrix A nalizable in R. = ( 1] is diago-

A: We have to find all real numbers  for which the matrix  is diagonalizable in

Q: real matrix which is not diagonal. If (A + I)² = 0,

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Q: Let -1 1 A = -1 1 -1 -3 3 Find an upper triangular matrix which is orthogonally similar to A.

A: An upper triangular matrix is a triangular matrix with all elements equal to below the main…

Q: Find the meet of the zero-one matrices A and B if A=⎛⎝⎜110010101⎞⎠⎟ and B=⎛⎝⎜011100111⎞⎠⎟.

A: MUST KNOW: In a zero -one matrix all elements are either 0 or 1 and represent false and true…

Q: Find a 2 x 2 matrix such that -5 6 +988-0 1 -3 = [1 1

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Q: Use an inverSe matrix to Solve the given SyStem of epearkons. X, + X2=4 2X, - X2 -14

A: Here the given system is: x1+x2=42x1-x2=14 The system in matrix form can be written as:…

Q: Find matrix D such that D=2A+B-C

A: Given

Q: X = 6{2 + 3[2(8 − 3) + (6 + ) − 3]} -

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Q: Find the matrix P that transforms the matrix into diagonal. Make the matrix A diagonal using P.

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