1 1 7 Find a matrix P that satisfies P 1 2 3 = 9 0 0, 900 1 2 3 1 1 7

Q: 7. Compute A100 where A = -5 6 3 -2 Find a matrix B such that B³ = A.

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Q: (2 -3 4 det 3 -5 = 45 1 2.

A: we have to find the value of x

Q: 1 -2 1 2 -1 - A = and AB %3D -2 6. -9 3 What is the size of B, and determine the first and second…

A: 4) All power of matrix more than 3  is zero matrix of order 4.

Q: 1 2 5 -3 Find a matrix X that satisfies XA=B, where A = and B = 2 5 3 -5

A: We find inverse of A then fin matrix X.

Q: -12 Find the PA = LDU factorization of the matrix A = 6 -24 13 2 5

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Q: Calculate the matrix multiple В. (1 2 3 0 1 4 6. 1. .7 8. 9.

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Q: A = 24 0 4 −1 2 4 2 1 1 1 1 1 2 0

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Q: 3 1 A B= 6 -5 -6 (1) Find a matrix C which satisfies 2A+ C = B. C = (2) Find a matrix D which…

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Q: 1 2 3 1[1 1 0] M =20 0 1 3[1 0 0

A: The given matrix is: 110001100 Let's find the REF of the matrix:…

Q: What is the resulting matrix? ( 2 0 -5 ) * ( 21 -8 -31 )T

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Q: What will be the rank of the matrix? [1 3 5 9 2 [1 5 2 0 0 0 0 0 15. 0 2 7-6 4 16. 019 0 05 0 0 8 7…

A: 15. Given matrix is: 1359200000027-6400879 The above matrix has 4 rows and 5 columns. So the order…

Q: 12 6 . Determine the rank and nullity of the matrix C=|0 1

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Q: 5 3 0 1 Find the size of the matrix -30 50]

A: The objective is to find the size of the matrix.

Q: 8. Find the standard matrix for the orthogonal projections onto the column spaces of A 1 1 -1 –1 A…

A: orthogonal projection of column space of matrix A= A(ATA)−1AT

Q: 2 1 4 6 Find a matrix X that satisfies A(X+I,)=B, where A = and B = 6 5 3 5

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Q: Consider the matrix 0001 1 30 30 1 4 4 14 0 0 6410 5 1 1 3 0 The maximum number of independent zero…

A: The minimum number of lines needed to cover all zero entries in a matrix is equal to the maximum…

Q: 2. Keeping in mind the table below fill the blanks: ID NAME CLASS MARK SEX 1 John Deo 2 Max Ruin…

A: As per honor code, we are entitled to solve only 3 subparts of the first question so I am providing…

Q: 5. Let A = 7453 7-9 -4 5 3-3 -7 6 7 -2 -6 -5 5 8 5-6 2 8-1-7-4 8 449 3 -4 5 -7 -6 -3 5 6-8-5 •…

A: Given A=7-9-453-3-7-467-2-6-555-7-65-628-358-1-7-486-8-54493. Applying row operations: Apply R1→R17:…

Q: [2 0° 0 3 2. similar to matrix 1 ? 0 3 Is matrix

A: The matrices A and B are similar if there exists an invertible matrix P such that B=P-1AP

Q: 2 3 Show that the matrix A is singular. 4 6

A: Concept used: Singular matrix are the matrix that is not invertible. In other words the determinant…

Q: |1 6. 1 1 6. A = l0 1 9. 10 7. В %3 8. C = 3 a. Size: a. Size: a. Size: b. Under matrix…

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Q: i. Let A, B; 3x3 order square matrixes, Meets the conditions BA=A3 & A3 – 2AB = 1 Prove that A is…

A: Given that A, B; 3×3 order square matrixes, meets the conditions BA=A3 & A3-2AB=I.…

Q: erse of the given matrix

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Q: The order of the single matrix obtained from 1 1 -1 To 1 23 is 1 0 21 -1 0 2 2 0 3 2 (a) 2 x 3

A: Here the order of the matrix needs to find out for both terms. Subtraction and addition won't affect…

Q: ind the null space and the nullity of the matrix A. 1 -3 - 6 4 -2 5 4 2 9. -1 8 2 -6 9. -1 9 7 -1 -…

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Q: 5. Consider the matrix 1 3 5 A = 18 18 18 5 3 1 Is A invertible? Justify your answer.

A: Given, A=135181818531A is invertible if and only if its determinantA≠0.

Q: Find all a and 3 > 0 so that the matrix B = 23 6 2 is 2 ally dominant:

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Q: (A) 17 B) 13 7 (D) 10 4 6 28 Consider the matrix = 1 5 4. What is the sum of a13 + a32? 9]

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Q: (a) Find the eigenvalues of matrix P. All working must be shown. Just quoting the eigenvalues, even…

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Q: Matrix B was obtained by row reducing A. 2. 5 - 5 5 21 3 7 18 – 19 17 76 11 A = 4 8 -4 12 32 4 1 0 5…

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