matrix A given by: a11 a12 a21 a22 a31 a32 A where: A = BC and: B = and C = 1 2 4 C 7 8 a d e a13 a23 a33 10 13 7 f g -5 11 20 -2 where a = 1, c = 7, d = 9, e = 1, f = 2, g = -7 Give your answer as an integer

Q: Given a matrix A = -2 Find the matrix B if 2B - 312 = A. %3D

A: Given: A= 50-21 Now lets assume B=abcd

Q: Solve for X in the matrix equation 3X + A = B, 6 and B = -2 -12 4 where A = -5 4

A: Given: 3X+A=BA=46-50B=-2-1241 To Find: To solve the given equation for X

Q: [-3 -2 Let A= 0 -6 and b = 14 3 2 6 Determine whether b is in the column space of A.

A: If b is in column space of A then Rank (A:b)=Rank(A).

Q: -1 1 1 -2. -2 8. -8

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

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

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Q: Let A = {ª₁,2,ª3} and B = a₁ =3b₁ b₂, a₂ = − b₁ + 5b₂ + b3, a3 = b₂ − 2b3. a. Find the…

A: a. Find the change-of-coordinates matrix from A to B.b. Find [x]b for x = 2a₁ +3a2+ a3.

Q: Find the numbers of the pivots to the matrix below: 2 1 1 1 2 -1 0 1 4 4 4 -3 11 O 4 O 2 O 3 O 1

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Q: Express the quadratic form (c₁x₁ + €2₂x2 + ... + Cnn)² in the matrix notation TA, where A is…

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Q: x-7 y = 4 3. X-9y-4

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Q: a B 8 6. Consider the matrices X- and Y= a e 3 21 bdf the first row and second column of the matrix…

A: We have to find the entry in 1st row and 2nd column of matrix XY and YX .

Q: Find the transpose of the matrix. 4 5. D = -2 -1 -3

A: The transpose of a matrix can be  found by interchanging its rows into columns or columns into rows.…

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

A: Given A=2-34-1235-1-2   C=214

Q: In this case, h = [1-8 9 6 9 -6 2 -6 -1 0 4 [1 -8 0 9 9 6 -6 2 26 -37 -25 a. State the elementary…

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Q: Use the matrix below and perform the matrix addition and subtraction, Indicate if the operation is…

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Q: [1 -2 -1] Let A- 2 4 l3 0 -2 -1 3 and B- 3 2 . Express the second column of AB as linear…

A: The objective is to express the second column of AB as linear combinations.

Q: 4. Given: A =( ) and B =(, 1 ). Find BA. 3 2 -2 -5 5. Given: A =( ); B = Find AB. 4 -3 4

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Q: State whether or not the matrix is in reduced form. 130 1 0 0 10 0001 Not Reduced Form Reduced Form

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Q: The matrices [2 1/2 1² 1] and [33 }] are row equivalent. -1 0 -2 LO A True B) False

A: Given matrices are 1-10211and 301031 Now find the given matrices are row equivalent or not:

Q: Calculate the inverse of the matrix [132] A 3 6 0 2 6 6

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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: 1. Find A¹ using elementary row operation to the augmented matrix Let A = -2 2 10 0 0 4 2 -6 -12

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Q: Express the column matrix b as a linear combination of the columns of A. (Use A₁, A2, and A3…

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