3. Use the column-row expansion of AB to express this product as a sum of matrices. 1 5 8 3 2 4 3 2 B =7 6 5 2 6 00 4 18 5 12 1 6 [4 1 8 2 1 -1 37 -2 4 0 1 A =6 9 1 -3 3 7 2 5 0 8 1 0 L7 4 1

Q: 2. Consider the matrices [3 4 A= 2 -7 -1 8 [3 C = 2 -7 -1 2 -7 1 8 1 5 4 1 B = 2 -7 -1 1 4 1 3 Find…

A: Elementary matrix are obtained from Identity matrix using elementary row operation on Indentity…

Q: Consider the following matrices: 1 2 3 -1 A = 4 5 and B= 1 7 8 9 3 -2 Compute the (1,1)-entry of the…

A: Here we explain products of two matrix.

Q: Suppose A ,B and X are matrices such that AX - A = B , where 1 1 -2 -13 4 -5 1 2 A = 3 B = 3 1 20 ,…

A: Do as given in the question than verify it is true or false.

Q: 4- Determine the rank of the following matrices: [1 2 8] i- A = |4 7 3] [3 4 5] ii- A=|1 2 3 [4 5 6]…

A: i. Given: A=128476953  ……1

Q: Consider the matrices 3 2 1 3 –1 3 1 1 3 0 3 1 3 -2 [d A = 3 1 В D = - 3 -2 -1 4 4 Compute whenever…

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Q: a) Consider the following matrices: 1 0 01 A =| 2 [1 0 01 0 0,B = |o 0 o,C Lo o 1. [o 0 01 2 ,D = |0…

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Q: 1.Let matrices be 19 4 -4 B = | 4 7 [-4 0 11] -2 -21 1 [3 C = 0 -2 A =| 10 -3 1 L-10 5 1 [4 a = |1 b…

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want any…

Q: (19) Calculate the products AD and BD for 1 Го 1 2 A = | 1 1 1 B = 3 4 5 and D = 3 1 1 7 8 -5 What…

A: Given matrix is : A=111111111B=012345678D=20003000-5 To find the value of AD and BD

Q: A number of matrices are defined as [4 5] [A] = 1 2 L5 6] [4 3 71 [B] = |1 2 6 l2 0 4] Perform the…

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Q: Suppose A, B and X are matrices such that AX A = B, where 0 1 0 1 -2 1 3. -134 -5 1 2 , then X = |…

A:

Q: 1. Consider the matrices: 1 [2 1 3 A = - 1 B = C 1 - 1 %3D 4 0 - 1 1 6. Compute the following: (a)…

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Q: Find the rank of the following matrices: 1 2 3 2 3 1 2 4 6 2 4 rank(A)= 1 2 4 2 3 6 3 1 2 4 2 4…

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Q: -1 -[::] Determine the dimensions of Nul A and Col A for the matrices. A = 4 7.

A: Before finding the column space or null space, we will reduce the given matrix to its reduced…

Q: Suppose that A=[13 26; 39 13] and B=[7 4; 2 3],the multiplication result of the * following matrices…

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Q: a) Consider the following matrices: [1 0 01 0 0 ,B = |0 0 0,C Lo o 1 1 0 0] 1 2 -1] A =| 2 -1 2 1] 2…

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Q: 3. Show that A and B are not similar matrices. [1 A = 0 2 1 -1 Lo 14.8= [2 1 1] 1 0 L2 0 1 ,B= 0

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Q: 1 3 2 6 6 1 3 4. If A = and B = 2 3 , compute 6A+4B. [42 36 [- 42 С. 36 18 [42 В. 36 18 [30 D. 36 -…

A: Since you have asked multiple question, we will solve the two question for you. If you want any…

Q: 1 The matrix product 3 is equal to 1 3 O ( ) 3 8. 5 8 3. 5. 8. 3. 3 O (8 5. 3.

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Q: Given the matrices below and that A = LU, complete L-1U-l,and A-1. 1 -6 -2 1 1. A = 1 -5 -5 L = 1 1…

A: Here we have,  A=1-6-21-5-5-4270, L=100110-431 , U=1-6-201-3001 Given:-  A=LU

Q: 16) Find the following matrix product: 2 0 1 3 0 0 1 3 2 4 2

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Q: Given the following matrices: X 2 -3 5 1 -2 -4 5 6 0 5 7 4 Show that (XYZ) = ZTYTXT Y = -3 6 2 6 -4…

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Q: Which of the following 3 x 3 matrices are in row- 1 -3 0 1 1 0 0 100 0 1 0 0 0 1 O [1 -3 -3 0 1 0 0…

A: Row Echelon Form   A matrix is in Row Echelon Form when it satisfies the following conditions.   1)…

Q: In which of the following reduced augmented matrices is the number of leftmost ones less than the…

A: Calculation:The following observations are made from the given augmented matrices.The matrix A has 3…

Q: Suppose A , B and X are matrices such that AX - A = B, where 1 -1 3 4 1 20 4 5 6 -5 1 2 1 -2 1 A = 3…

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Q: Consider the following matrices: 1. 2 3 [1 -1 A = 4 5 6. and B = 2 1 7 8 9. 3 -2 Compute the…

A: We can solve this problem using product of two matrix.

Q: Consider the matrices 1 0 0 0 0 1 1 1 A 2 0 0 1 0 0 B = 0 0 1 1 1 0 0 0 1 18 5 1 -7 8 C = 0 0 1 0 0…

A: We know, a matrix is in reduced row echelon form(rref) if, 1)In each row first non zero term should…

Q: Example 1: For the matrices A = 0. and B= compute AB andA-1 and B-1 and (AB)-1.

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Q: 1.1. Transform the following matrices to echelon matrices using row oper- ations: 2 5 (a) -1 1 1 2 3…

A: To transform given matrices into row echelon form.

Q: Given the matrices below and that A = LU, complete L-1,U-1,and A-1 1 0 0 L = |1 1 1 4 -1 1 4 A = 1…

A: Given that A=14-115-6213-26 and A=LU where L=100110251 and U=14-101-5001

Q: 1 1 1 1 4 1 1 1 1 1 1 0 1 2 1 1 3 20 1 4 1 0 1 1 3 3 2 3 3 2 3 3 4 1 3 1 1 3 1 1 1 1 3 A = B = C = 1…

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Q: Create the following matrix H: 1.25 1.5 1.75 2 2.25 2.5 2.75 H = 1 3 1 2 3 4 45 40 35 30 25 20 15…

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Q: Consider the following matrices: 1 2 3 [1 0 -1 A= | 4 5 6 and B= |2 1 7 8 9 3 -2 1 Compute the…

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Q: A unitary matrix is deemed a unitary matrix when it has with complex entries and if Al=A", where…

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Q: Consider the following matrices: 1 2 3 A = | 4 5 6 1. 0 -1 and B= |2 1 7 8 9 3 -2 1 Compute the…

A: In the question it is asked to calculate the (3,1) value of the matrix AB, where A and B matrix is…

Q: 16. Which of the following matrices is in reduced-row echelon form? 15 2 0 0 4 Го о 0 от [1 B. 0 1 0…

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Q: If A₁ = [a, b₁ [d₁ e₁ fi 3 real numbers, show that: 9. (A₁ + A₂) + A3 = A₁ + (A₂ + A3) 10. (k+h) A₁…

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Q: 1. Consider the following 3 x 3 matrices, [4 1 31 2 1 41 A = 0 -2 1 B = -1 3 13 3 2 5. (a) Calculate…

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Q: Consider the matrices 0 10 A = t -2 8 -6 B = 3 k -11 -2 8k C = 4 9 -7t with t,kER. The result of…

A: topic - matrices

Q: Consider the matrices 2 1 4 0 13 1 2 -1 0 3 -6 1 |-1 2 -7 1 4 1 17 -1 7 [1 0 3 7 0 8 25 -3 -19 1 -2…

A: Since you have Posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: For each of the matrices in 5- 8 write down the (1,2)-, (2,3)- and (3,1)- minor. See Method (4.1.2).…

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Q: 1 a. Verify that A? = I when A 101 -8 b. Use partitioned matrices to show that M² = I when 0 0 0 0 2…

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Q: 1. If A is 3x3 matrix with det(A) = 5 then det(3A) %3D O 3(5)=15 9(5)= 45 O 27(5)= 135 5(5)(5)= 125

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Q: 1. Use the following matrices to compute the indicated expression if it is defined. 3 5 21 1 D =|-1…

A: The matrix product can be calculated by multiplying the row of the first matrix by the column of the…

Q: 1. Consider the matrices: 4 A = 1 B = 2 Compute the following: (a) (AB)-1 + BA, (b) BC – IBC

A: Given: A=40-12, B=1012, C=1-112

Q: 2. Consider the following matrices : 1 2 -1 3 1 and B = 3 2 A = 4 2 -1 -2 5 (a) Find At. (b) Use the…

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Q: 1. Let matrices be 6 A = 10 -3 1 L-10 5 [5 a = 1 -2 -21 [2] 1 1 94 4 -4 B = 47 0 -40 b = [308] -4 0…

A: We know that a matrix of order m×n has m rows and n columns. There are certain rules to perform the…

Q: 29) Show that the following 3x3 matrices are inverses of each other by calculating AB and BA. What…

A: