(a). Solve the following equation for matrix X. 1 0 23 [ 2 3] x = [8 1 2] + [22] X X 0 1 1 0 1 1 001 000

Q: Let A =  -2 1     0 3     and    B =  2 -3     1 −2. Find a matrix X satisfying the matrix…

A: The given matrices, A=-2103 and B=2-31-2 We have to find the matrix X, that satisfies 2A+X=3B

Q: Find the nullspace of the matrix

A: By definition , nullspace of a matrix A is the collection of all vectors x such that Ax=0 Given…

Q: 9. 1 3 X - 2 1 5 3 1 32 -1

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Q: Solve the matrix equation AX = B for X. 1 2 75 A = 8 B= -6 - 24 ...

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Q: Let 1 1 -2 1 2 3 | A = 1 4 and B = -6 -2 -3 - -3 2 1 -1 -1 | Find the inverse of the matrix A + B –…

A: Let's find.

Q: use the following matrix                    D=   [5  3]         D=  [4   6]  write the negative…

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Q: Consider the following 3 by 3 square matrix: [0x 1] A = 135 Find the value of "x" so that det(A) =…

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Q: Q4. Determine and verify the inverse of the following matrix A=1 3 2 I 2 5

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Q: Find a non-zero 2 x 2 matrix such that Note: 4890 -7 -67 28 24 =

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Q: Solve the matrix equation AX = B for X. A= X= 11 42 B= 23 7 8

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Q: Fill in each matrix for diagonalization of the matrix A = A = PDP-1 3 Ex: 5 30 1 4 -6 19 1 1 IG

A: We have to fill in each matrix for diagonalisable of the matrix.

Q: For each section, find the matrix X solving the given equation. 100 10-610 01 0 57-5 a. X = 00-6…

A: Step 1:Step 2:Step 3:

Q: Find the inverse matrix where A = 1 -1 2 -3 -3 1 2 -3 -3

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Q: Solve for X using the matrices below. 2A + 4B = -2X 4 -1 0 3 -#-# A = 3 0 and B = 2 0 -4 -1 X = 3-4…

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Q: Find a non-zero 2 x 2 matrix such that -7 1 35 -5

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Q: 6 X1 -1 -5 X2 II

A: Let us consider the system of differential equation X'=AX then the solution of system of equation is…