Consider the matrices 3 0] -1 2 1 1 [1 4 2] A= B= C= 3 1 5 15 2] -1 0 1 3 2 4 6 1 3] D= E = -1 1 2 4 1 3] Using these five matrices, please calculate the following (when possible), showing sufficient "ork: a) 7A b) B+C c) 2D - E d) A-A e) tr(D) f) tr(E-3D) 9) B-B" h) 늘d+ A

Q: 3. Consider again A = 2 1 6 1 0 -1 2 10 a) Explain how to reduce A to a diagonal matrix D using only…

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Q: 1 A = -1 0 2 a) B = 1 -2 4 5 (-3 -3 b) A = 2 7 B = 11 -6 18 -11 13 A = 28 43 c) B = 22 -3, 12 4 3 -3…

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Q: 8 - A is a (100x100), B is (30x100) and C is (30x100) and D is (100x30) matrix. i. A*D*C İi. B*D…

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Q: 12 -2 6 3 1. For the matrices A = and B = 4 find the following. Show your work for parts a and -5 -2…

A: Given matrices are                                A=12-2-54 and B=63-27

Q: Product of matrices multiplication A=[a, b; c, d] x[1,0;0,1]

A: In the question we have to find the product of the matrix.

Q: Diagonalize the following matrices a) (0 0 1 2 -2 A : 1 1 0 3 b) 3 2 A -2 -2 -2 1 2 2

A: We find the eigenvalues and corresponding eigenvectors of the given matrix to diagonalize it.

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: The matrices A, B and C are given by and D=AB - 2C. Give the value of d 2,3. a) O-12 b) O-13 c) O-11…

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Q: 2. Given matrices A and B below, evaluate tr(AAT - 3B) [1 0 -2 2 A = 0 5 [1 1 4 0 B = 0 1 1 -6 3

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Q: Consider the following matrices: -7 M = -1 (4-2) and (NM) - (34) 2 7 T = 1 a) Find matrix N. b)…

A: Step 1: Step 2: Step 3: Step 4:

Q: 1 3 3 7 -3 -3 5) Given A =a,I 1 4 3 and B= [b,] -1 1 1 4 -1 0 1 a) Find a3 + b,2 b) Evaluate the…

A: We  know  that  any matrix can be written in the   following  form  A=a11...a1m.....an1.anm where…

Q: d) Consider the following matrices: [1 -3] and B- Find: i) A- ii) (2AB) -

A: Given matrices are A = 1-32-4 and B-1 = 21-11

Q: 15. Which matrix is not in row-echelon form? 1 C) 71 -2 1-3 2 0 1-6 0 0 0 A) 5 1 -4| [12; 0 1 -2 B)…

A: Use the definition of Row echelon form matrix.

Q: Exercises A. Consider the matrices below: 07 [1 C = 2 [1 A = 2 -11 2 B = 3 -1 7 5 11 5 3 [12 E = |2…

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Q: 5) A = 3 -2 6 0 0-2 6 Find AB.

A: A=[3−260],B=[0−246]

Q: 1. Solve the following Matrix Operation: 2 -1 3 2 3 1 2 1 c= 4 3 2 3 5 A= 3 2 1 B= -1 4 -2 DD 10 3…

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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: (9) Given A = and B = 6 .cCalculate: 3 a) AT b) A+B c) A*B (matrix multiplication)

A: Given that               A=2123       and  B=1-103 Now we find a)AT  b)A+B   c)A*B(matrix…

Q: 1. Solve the following Matrix Operation: -1 3 2 3 1 2 3 5 2 1 2 1 B- —1 4 —2 с- 4 3 A= 3 D= 10 3 1 4…

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Q: Find the transpose, conjugate and tranjugate of the following matrices: # = √² = 3₁ 2 AT = 1-1 31 7…

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Q: Let A be a 4x3 matrix, B be a 3x3 matrix, and C be a 3x5 matrix. Give the size of ABC. a) 4x3 b) 3x5…

A: Matrix multiplication

Q: 10 Find the inverse of matrix A -31 A: -8 a) 59 l-1 3 -7. 1 [ 8 31 b) L 59 l-1 1 [8 c) 59 3 -1

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Q: Given the matrices A and B shown below, solve for X in the equation A – X = -,B. 9. 2 -6 А B -10 -10

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Q: 2 14 22 6 10 5 8 92 12 6 D= 10 14 2 E 6 14 12 5 0 9 78 17 15 4

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Q: Let A be a 4 x 4 matrix with det (A) = 1. What is det(2A)? a) 1 b) 2 c) 4 d) 8 e) 16

A: By using determinant property, we calculate the required result.

Q: 1. Perform the indicated operations of matrices. Given: 1 = [2²2 A -2 1 11 4 1 3 31 Note: A² = A.A 0…

A: According to the Bartleby guidelines when student post multiple subpart question then expert must…

Q: 15. Which matrix is not in row-echelon form? : 1-3 2 C) A) 0 1 -6 o ;o o° 1 -2| 2 [1 2 0 1 -2 B) D)

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Q: The matrices A and B are given by 3 2 -3 -2 -3 A= 3 2 B= 1 -1 -2 -3 2 and C = BA. Give the value of…

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Q: Given the matrices: [2 2 -1] A = |4 0 Lo 5 -3] [2] D = [3 -2 6] 1. B = |1 C = Identify the…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.