1. Perform the indicated operations of matrices. Given: 1 = [2²2 A -2 1 11 4 1 3 31 Note: A² = A.A 0 3 B = -1 2 2 -1. a.) 5CA - 10A c.) 3(BTD) + 4AC² e.) Adjl [(AD¹)B-C]| c==3] b.) AT (CBT) d.) (Adj|C| + 4C)T [1 2 2 11 1 3 2 2 2 3 D 0 1

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: Consider the following matrix: 1 7 6 -5 2 B = 3 4 3 1 1 6 -1 2 4 Using the adjoint method for…

A: Given that, B = 176-5243132106-124 First, we have to find inverse of the given matrix using adjoint…

Q: Consider the function f(x1, x2) = 8x + 3x1x2 + 7x3 – 25x1 +31x2 – 29. Find all stationary points of…

A: For a function in 2 variables x and y, the critical points can be obtained as the solution of the…

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: /0 5 5 8 For the matrix A = 4 5 2 19 4 4/ A. -7 C. - 12 cofactor C₂1? B. 12 D. 7

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Q: 6. Given: A =(; ), B =(G ) and C =("2 (-1 1 1 4 Find A(BC). 4 3

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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: 2. Given the matrices A and B, find the products AB and BA 132 23 A = -2 14 B = 14

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Q: Solve the following using the inverse matrix method: 2x - y + 3z = 9 x+y+z = 6 x-y+z=2

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Q: Factor these two matrices into A = XAX-¹: A 03 X Λ = A: = 3 3 X = Λ 9 9 (Note that you must provide…

A: Step 1: Step 2: Step 3: Step 4:

Q: Ql: By using matrix inverse method. Find the value of x and y in term of z. 2X + Y-Z 3 X-3Y+2Z-1

A: Let us determine the values of X and Y in terms of Z using matrix inverse method in the next steps.

Q: Factor these two matrices into A = XAX-¹: A 03 X Λ = A: = 3 3 X = Λ 9 9 (Note that you must provide…

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Q: Determine the order of the matrix. 2 5 -4-4 6 1A) 3 × 2 B) 2 × 3 C) 6 D) 3

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Q: Solve the matrix equation below: a) 2a NO 3 b 4-7d] b) Find 4A + B 2 = - [8, 1²] -9 [1 A = 6 13 L7 5…

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Q: Consider the following matrix: 1 7 -5 4 3 B = 3 2 1 -1 Using the adjoint method for inverses, find…

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Q: Find the matrix A of the quadratic form associated with the equation.16x2 − 4xy + 20y2 − 72 = 0

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Q: Let A = [ 3*0 .8 = [ Jand C = [14-0 Jand c = [1* | Find the matrix X, if 8+0 -10 A? + 3X =C |B|

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Q: Perform the given row 5 7 7 -1 -1 -17 1) 3-6 25 9 1 20

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Q: 10. Solve the matrix equation. 1 1 6 6 2 1 2 4 A) 4 2 1 -2 10 8 10 1 В) D) -4 -4 -2 -2 10 2 4 00

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Q: Let A and B be 2 × 2 matrices. The equation (A – B)(A+B) = A² – B² is correct. ... True False

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Q: Express this system of equations in matrix form. Qai Qs1 Qai Qa2 a1 – bịP1 + eP2 = -c1 + d¡P1 Qs1 |…

A: First we simplify the equations and then find matrix form.

Q: Q2 For the following equations 2x1 + 2x2 +3x3 38 %3D 4x1 + 5x2 +3x3 = 6 2x1 +3x2 + 5x3%32 A) Find…

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Q: 5. Choose which of the following are the values of x, y, and z. x + 2y +3z = -5 3x + y - 3z = 4 -3x…

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Q: a) Find the inverse of the matrix A=(2 5 b) Use part (a) to solve 2x, + 5x, 1 +4x,=3 %3D

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Q: Make a change of variable, x = Py, that transforms the quadratic form 6x +18x1x2 + 6x2 into a…

A: Quadratic form and diagonal matrix

Q: The first derivative of f(x) = 10x³ - 3 (5x4 - 6x)³ C. (3-10x³)√(5x4 - 6x)³ A. Select one: OA OB ос…

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Q: Matrices P and B are similar. Find H such that HP = BH and H ‡ -1] -3 4 P= [₁3] B= [11] ;B: -4 -3 3…

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Q: Given the matrices A and B, solve for X. 18) 3X - B= A. 5 -2 3 and B= -1 -1 A = -4

A: 3X-B=A