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

Q: (15) 4. Add the matrices + 25 4 3

A: We have to do matrices

Q: Express as a single matrix.

A: The matrix we have is  2014-2302-3451

Q: list 2 matrices that commute with all n x n matrices

A: Scalar matrix is the only matrix which commute with all matrices   Let A=kI is a scalar matrix ,…

Q: Solve the matrix

A: we will solve such that we can get the solution to system of linear equations

Q: Construct a matrix for which N(A) = all combinations of (2, 2, 1, 0) and (3, 1, 0, 1).

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Q: 1 Perform the row operation R₁ and replace R₁ on the following matrix. 2 20016 0803 0056

A: The matrix

Q: Find a basis for the row space of

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Q: How do you find the inverse matrix

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Q: -1 2 1 -2 and B = (-3 3 4 -2 2 2 -3 4 5. Find the quotient matrix A/B if A = 3 4 %3D -4 2 3 3/

A: The given matrices are: To find the quotient matrix A/B means, multiply matrix A with the inverse…

Q: A) find C= A.B for the following matrices 7 3] ;B B = 2 A = 24 3 1

A: To answer the given question we shall use the product rule of matrices. The given matrices are…

Q: Use the matrix form of the Euclidean algorithm to find the greatest common divisor (165,312) for the…

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Q: Find matrix such that 5 3 -1] X+ 2 -3 1

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Q: these operatorS using 2 x 2 matrices - (o(')<-(xいつ6) (てん10) (x29 xi) (ス,,スュ) し2,,ス2)

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Q: Solve the matrix equation AX = B for X 8 1 A = B = -1 2 - 13 X =

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Q: /1 3 21 2 1 1 A = 4 03/ -(² 7 1 -1 -1 Find the matrix A. 1 3 03 -3 7

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Q: solve the matrix equation for X -1 1 -1 5 7 8. 3 0| X = 4 -3 1 2 -1 3 5 -7 1

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Q: What is the rank of the matrix A = 2 1 5 -1 2 -5 0 3? -3

A: See this solution in below.

Q: 8. (3pts) Let A and B be arbitrary n x n matrices. Multiply (A – B)(A+ B).

A: As we know that (A-B)(A+B) = AA+AB-BA-BB=A2+AB-BA-B2here AB need not to be equal to the BA. Because…

Q: Find the matrix of the quadratic form 2x,2 + 3x22- x3-4x1x2 + 2 x1X3 + 6x2x3 -1 2 -2 1 (a) 2 3 3 (b)…

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Q: 2 1 }], 3

A: LetWe have to find the inverse of the above matrix.We know that

Q: Give a specific symmetric 3x3 matrix whose first row is [1 9 -2] 6. and whose second column is row…

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Q: Which of the entries in the matrix 2 1-7 A B 4 -3 Ⓒ ₁ - 6 ܣ -6 -3 4 | has -37 as its cofactor? 9 5

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Q: 12 (b) Given D = 2, decode the following message: Message: -1, 4, 30, -41, 39, -58, 22, -33, 31,…

A: Given: The given matrix is D=2-3-12. To find: b) We have to decode the following message: Message:…

Q: Solve the matrix equation Ax=b where A [ 2 -3 4 0 0 1 2 -3 b H 8 -10 16

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Q: Compute A³, A-3, and A² - 2A + I. 4 0 [69 2 NOTE: Write the elements of each matrix exactly. A =

A: NOTE: Refresh your page if you can't see any equations. . the given matrix is

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

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Q: 2 -1 3 1 0 0 1 A = -1 2 no

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Q: For Square Matrix A, B of the same size is it true (A + B)-1 = A-1 + B-l? Explain

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Q: Determine the cofactor of 2 in the matrix A = 1 9. 7 4 O-4 3. O -3 2.

A: Cofactor of any element aij is the determinant of the matrix formed by deleting row i and column j…

Q: Express as a single matrix.

A: Here we need to express the product of matrices 2-1030-22-13030142as a single matrix.

Q: 10 Let A = -2 1 B (Enter a matrix like -3 -6 -87 Find the product of any two of the matrices. The…

A: The rule of order (or dimension) of matrices for matrix multiplication is as follows:For two…