If A is 3 x 3 matrix and A? = 4A then %3D a. |A| = 2 O b. |A| = 4 c. |A| = 8 d. |A| = 64

Q: Find the following matrices where A = a. A+B b. A-B 47 c. - 5A and B 39 d. 2A + 3B

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Q: . Find the rank of the matrix : 3 2 11 3 4 3 -1 2 2 Find rank of matrix

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Q: If the matrix ? = [ 2 3 −1 2 ], show that ? 2 − 4? + 7? = 0.

A: From the given problem:   A=23-12   So the characteristics equation is:   A-λI=0

Q: 1 3 4 A = 41 2 3 4 5 Answer each of the following questions and enter each of your answers as a…

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Q: Find the matrix of the quadratic form. Assume x is in R³. a. 2x² +8x² − 3x²3 - 10x₁ x₂ + 8x₁×3 −…

A: Concept

Q: The sum of 10 divided by a number and that number divided by 10

A: Let the number be x.

Q: ii. the missing elements of the adjoint of M, (-11 1 13 adj(M) = -9 an a2 3 a a33) :=

A: A detailed solution is given below

Q: clif A is 2x2 mabrix with IAl =L (row, row2) and B:/5row, Where A-/row Then 8 2 rowl+ 36 a. IBI = 30…

A: Given that |A| = -2  To find: |B| Here A=row1row2B=row12row1+3row2

Q: Find the solution to the system of equations using Gaussian Elimination - 2y + z = 0 %3| y + 2z = 9…

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Q: 3. Solve for X Y when using row operations. 2X + 4Y = 144 X +0.25Y = 30

A: The given system of equations

Q: Which one is not an elementary row operation? O A. Interchanging two rows of a matrix. O B. Adding a…

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Q: 3) Find the inverse of the Matrix: A || -3 6 (39) 4

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Q: Express Ac as a linear combination of the columns of A.

A: Given A=2-34-1235-1-2   C=214

Q: Given that D = [2 3] 3₁], find the entry in row 2, column 1 of the matrix p−¹.

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Q: a) Consider the matrices A and B: 4 -3 A =-2 7 1 8 6. -5 B = -3 -2 Which element is in row 2, column…

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Q: H.W Find the Adjoint to the following matrix 4 X = -3 7 1

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Q: 2 C.)0 D. 1 -1 -5 --2 1 1 4 3 1 -12 1. Let matrix B = -2 What is the reduced row echelon form of B

A: To find the reduced row echelon form of B

Q: 7. Let T1, T2, T3 represent the following row operations: T₁: Interchange rows 1 and 3. T2: Multiply…

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Q: Find the matrix representations for R² and R-1.

A: First we define relation matrix for R:

Q: 1. Find the inverse matrices for the following: 8. A = 6. 4 1 -2 1 В 4 -7 3 -2 -4 2

A: We will use adjoint method to find inverse of matrix

Q: 4x, +2x, + x3 = -1 -4x, — 6х, + х, +Зх, %3 3 8x, +16х, — 3x, — 4х, %3D-2 20x, +10x, + 4x, – 3x, = 4…

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Q: Find the relation determined by the diagraph and give its matrix

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Q: The matrices C and D are given below. Find the matrix B so that BC = D. C = -1 and D =

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Q: Give the matrix representing the relation in the previous problem. Label the rows and columns.

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