Find the matrix C=AB it A= O 3-5 4 B-3 - 1 1 2-3 2 3

Q: Diagonalize the matrix A 2 -2 if possible. 2 -3

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Q: Verify that BC=CB.

A: Given matrices:

Q: Let (A-2) where / is the identity matrix,then A 34 Select one: a. -2 3. b. 4 -2 -3 1 C. 0 3 7 3 2 2…

A: We have given A-2I-1 = 1234 Find the inverse of A-2I-1 and we get A-2I

Q: What is the rank of the matrix?

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Q: Use the matrix P to determine if the matrices A and A' are similar. -1 -1 14 8 2 A = 2 A' = -20 -13…

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Q: Determine if the matrix is nonsingular. Explain. [1 3 21 1 4 l1 -7 21

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Q: Given the matrix A = A3. Write A3 as a11 a12 A3 = a21 а22 ut your answer below: %3D

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Q: se the matrix P to determine if the matrices A and A' are similar. 14 3 -2 P = 1 A = A' -20 -13 2 -2…

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Q: Find the diagonal line matrix P 7 -5 0 4 -1 A = 2 8 -3

A: Given the given matrix is A=57-504-128-3

Q: 3. Diagonalize the matrix A = 1 -3 3 3 3 -5 -3 3 1 if possible.

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Q: Find a diagonalization for the matrix A, if possible. 1 10 6 @A-[93] (a) A = (b) A: = 022 27 003 (c)…

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Q: a. Give the order of matrix.b. If A = [aij], identify a32 and a23, or explain why identification is…

A: Given:-64-1-9012

Q: Write the third column of the matrix as a linear combination of the first two columns, if possible.…

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Q: Identify the size of the matrix. a. A4X7 * B7×12 1. b. A3 2x5 + B32x5 C. A3x2 * B3x2 d. A7X9 + Bºx7…

A: Any matrix size is determined by counting its column and rows

Q: Find the matrix product ABC by (a) grouping the factors as (AB)C, and (b) grouping the factors as…

A: A = 1234 B = 0123 C = 3001AB = 1→2→340↓1↓23      = (0+4)(1+6)(0+8)(3+12)      = 47815 — (1)BC  =…

Q: What is the rank of the matrix?

A: Given,

Q: Find the values of x and y so that the matrix equalities hold. (2 х-3 1 -5 -5 1 2-y/ 1 y

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Q: Find the matrix product ABC by (a) grouping the factors as (AB)C, and (b) grouping the factors as…

A: a).

Q: Q3. Diagonalise the matrix [A]. - 5 -6 6. [A]= -9 -8 12 -12 -12 16

A: To diagonalize a matrix. The following steps are to be followed. To find the characteristic…

Q: An identity matrix is represented by... . а. Нн-1 O b. HH-H C. H-H

A: Given

Q: (b) Find the LU factorization of the matrix: 1 -1 A= 3 -4 -2 | 2 -3 -2

A: The given matrix is                                A=1-1-13-4-22-3-2 We have to find the LU…

Q: Write the third column of the matrix as a linear combination of the first two columns, if possible.…

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Q: 1. 0. what, is the value of |A|? For the matrix A = 2 13 %3D 63

A: We have to find the value of A for the matrix: A=1-24206373 We know the determinant of matrix, If…

Q: What is the rank of the matrix?

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Q: Find the transpose of the matrix. 0 1 7 2 -1 2 8 5.

A: Given that  The matrix is  To find the transpose of the matrix is

Q: Find an LU-factorization of the matrix: show solutions. 1 1 a. 1 ⠀⠀ 2 2 2 3 2 5 b. 6 14

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Q: (A) Determine matrix X, where (AB-31X= B and I: unit matrix A=[3 -2 5 and B=[1 6 4]

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Q: Write the third column of the matrix as a linear combination of the first two columns, if possible.…

A: This is based on application of Matrix.

Q: a) ir(A - 1)1- ( -2) %3D Find the matrix A

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Q: add new column [0;0;0] to the matrix a[12 3, 45 6 ,7 8 9]. * Your answer

A: We have to add column [0;0;0] to the matrix a[1 2 3;4 5 6;7 8 9]

Q: Find the matrix E so that EB=C, where a, a, a, B= b, b, b, & C= 1 а, а, 0 8, 8,

A: Given that the matrix B ad C To find the matrix E so that EB=C with a1 is not equal to zero.

Q: Q3. Diagonalise the matrix [A]. 4 33 [A] = 3 6 1 3 1 6

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Q: Diagonalize the following matrix, if possible. 2 4 3 A = -4 -6 -3 3 3 1

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Q: Write the third column of the matrix as a linear combination of the first two columns, if possible.…

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Q: Diagonalize the matrix, if possible -1 4 -2 A =| -3 4 2 = 1, 2, 3 -3 1 3

A: We have to solve given problem:

Q: Consider A 3 Then what is the matrix S that transfer A to a diagonal matrix D. [2 and D and D = S =…

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Q: Determine the rank and nullity of the matrix. 2 -1 0 1 5 2 1 -4 -1 -4 -1 6 -8 -5 -2 9 The rank of…

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Q: Compute A, A-3, and A? - 2A + I. [2 0 A = 3 NOTE: Write the elements of each matrix eractly.

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Q: Write the third column of the matrix as a linear combination of the first two columns, if possible.…

A: Yes it is possible.

Q: a) (11-1) If A = 0 -2 3 001 , Show that A² = −4+27, where is the identity matrix.

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Q: Find values for the variables so that the matrices are equal.

A: we have to find the value of the variables so that the matrices are equal. x7=11y

Q: i) Find B Use Desmos Matrix 3 A = B = [ -6 6 4. -7 -8 II

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Q: Use the matrix P to determine if the matrices A and A'are similar. -1 -1 15 9. 5 P = A = A' 1 -20…

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Q: Solve for A: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right…

A: Given: 24-425-725-6A=-866-710-19-106

Q: [123 If the matrix A= 4 0 8 then the cofactor C21 ......... 350

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Q: Write the third column of the matrix as a linear combination of the first two columns, if possible.…

A: Given: 123799456 we have to solve: a174+b285=369 Now: a+2b=3  ..........17a+8b=6 ..........24a+5b=9…

Q: Use the matrix P to determine if the matrices A and A' are similar. 15 9. 5 A' = -1 -1 P = 1 A = -20…

A: If the 2 matrices A and B are similar then B = P-1AP Further for a 2x2 matrix, if

Q: Q5. Diagonalise the matrix [A]. 4 3 3 [A] 3. 6. 1 %3D .3 1 6.

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Q: erom these equation,calculate V3 by the matrix 2 -3V2+oV1 = 240 2-3V1+ 172=0 3-2V2 +5V3 こ0

A: See the details solution in below