6: [1 The rank of the matrix A = 4 [5 O True False 2 3 5 7 6 is equal to 3. 9]

Q: (15) 4. Add the matrices + 25 4 3

A: We have to do matrices

Q: 1. Let, A = -1 21 Find the matrix -5A3 + 2A? + 4A + 512. 9 21

A: Given: A=-1292 Determine A3. A3=-1292-1292-1292=192922-1292=-14218962

Q: 4 Is the matrix A = -3 O Yes O No 1-3 1-3 2 -1 -4, invertible?

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Q: 17- Let A be 5 x 5 matrix and det(4) = 2. What is the value of der(24)? a) 128 b) 32 16 64 LEave…

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Q: Q2. For the matrix, A = (a) Find 2 Tr (2 A). (b) If A = 21 8 7 4 6 7 5 4 find (A)-².

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Q: REI [1.5 5 -151 2 30 -1 2 1 .5 and C= [-2]. -.5 16. For this problem, let A = a) Use your calculator…

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Q: 2 7 Which of the following is the matrix C that satisfies the equality (c" +312) 1 4 -1 3 (a) 2 -5…

A: We have to find matrix

Q: 4x+5y+4z = 8 3x+3y+ z =-9 5x+5y+2z = -1 Write the augmented matrix:

A: For a system of equations is a matrix of numbers in which each row represents the constants from one…

Q: What is the rank of the matrix A = 2 1 5 -1 2 -5 0 3? -3

A: See this solution in below.

Q: 13.) Determine the matrix: s P 6-8 3 ។ -3 the dimension X 10

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Q: 2. The matrix product G o) ( (5 3 is equal to 3 2 5 3 (: ) 3 5

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Q: Find the rank of the matrix 3. 5 9 -3 5 -11-5 -3.

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Q: 2. a) Let A = answer. [2]. Find the matrices A² and A³. What can be the matrix A"? Justify your -11

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Q: -3 -2 -3 17. Find the inverse of the matrix A= 5 3 5 2 1 1

A: Given A=-3-2-3535211 The inverse of A is given by A-1=1Aadj A A=-3(3-5)-(-2)(5-10)-3(5-6)…

Q: 5. Diagonalize the following matrix. 3 B =-3 4 9 0 0 3/

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Q: -11 36| and P 10] 3 2. Find the diagonal matrix of A = -3 answer -21

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Q: 10) Find the transpose of the resulting matrix: AE 4 x 5 -100 3 5 A = 2 2 a. -|-7 26 29 26 C. - 29 7…

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Q: 7. (S.15). Find the inverse A-1 of the matrix -2 -3 A = 0 2 -1 -1 -2 3

A: Matrix Question

Q: [7 3 -5 Q1\ A- 1- if A = 0 4 and B= 3A;C = B+5I find matrix D such that 1 4 D= 2A+B-C

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Q: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

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Q: (A" – 21) * - | ) 3. Determine the matrix A if

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Q: a) Let A and B be two regular (nonsingular) (n, n)-matrices. Determine whether the following is…

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Q: Which of the following is the matrix C that satisfies the equality (CT +312) -1 3 (a) 2 -5 (:) 5 -2…

A: First take inverse on both sides of matrix equation CT+3I2-1=2714. CT+3I2-1=2714CT+3I2-1-1=2714-1…

Q: 5. (16 points) Let A = [13¹], B = [-1¹ 63], and C = [29]. Compute each matrix sum or product if it…

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Q: Is the answer in #1 and #3 not in matrix form? how so?

A: Remember : eB represents coordinate matrix of e with respect to basis B. Which means if we consider…

Q: 1. GIVEN A = -1 2 0 3 61 FIND: a. b. A + B B-A C. CXA

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Q: Q1. [2 (a) Given the matrix A = |7 11 4 -61 show that the matrix (A+ A") is -2 4 Symmetrical Matrix.…

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