-2 -1 -3 1 Determine the rank of the matrix 1 0 1 -1

Q: 4 0 -2 | Diagonalize the matrix A if possible where A 2 5 4 0 0 5

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Q: 5 -1 Find the transpose of the matrix: -21 27. 33

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Q: 0-1 *b. Construct a matrix whose column space contains1 and 1 and whose nullspace contains and or…

A: THE REQUIRED MATRIX IS A

Q: 2 1 -1 3 1 2 1 2 0 b) Calculate the rank of the matrix P = 3 1 1 1 |-1 -5 -3 -7 3

A: Given,

Q: -1 2 1 -2 and B = (-3 3 4 -2 2 2 -3 4 5. Find the quotient matrix A/B if A = 3 4 %3D -4 2 3 3/

A: The given matrices are: To find the quotient matrix A/B means, multiply matrix A with the inverse…

Q: |3 1 2 - Transpose of the Matrix 2 -1 2 |-1 2 3 1 2 -1 -2 2 -1 a. C. -2 -1 3 -2 3. 2. 1 -1 -1 -2 0…

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Q: -1 10 2 4 5 2 10 coeFFICient of matrix (A) 2 3 -5 2

A:

Q: -2 1 -1 -3 1 3 b) Find the Rank and Nullity of a matrix A = -2 -1 1 -1 3 3 9 0 -12

A: Concept:

Q: -5-7 Determine if the matrix is symmetric. -5 -9

A:

Q: 4 0 -2 Diagonalize the matrix A if possible where A 2 5 4 0 0 5

A: An -matrix A is said to be diagonalizable if it can be written on the form. A=PDP^(-1) where D is a…

Q: 3 - 2 - 5 1 Find the rank of the matrix 3 5 - 12 -1 2) 2.

A: Rank of matrix: Number of linearly independent column represent rank of matrix. Given matrix is:…

Q: (2x1-3x2 = 4 (1 (3x1- X2 = 1 (2 The second row of the diagonally :dominant matrix (A) is

A: A square matrix is said to be diagonally dominant if, for every row of the matrix, the magnitude of…

Q: R={(2,1),(3,1),(3,2)} as a zero to one matrix

A: Given R = R=2,1,3,13,2  we have to write it as a zero-one matrix  A= 0001001103×3

Q: 1 2 3 -27 2 -5 1 If A then the = 3 -8 -12 -1 rank of the matrix A is

A:

Q: 2 1 -1 3 1 9. Calculate the rank of the matrix P = | 2 1 2 0 3 1 1 1 |-1 -5 -3 -7 3|

A: P=210-131212003111-1-5-3-73

Q: -1 2 4 Find the 1-norm of the matrix 3 -2 0 1 -1 2.

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Q: 9. 3 1 2 Transpose the matrix -2 -1 2 -1

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Q: (3 11 3 Write the matrix as the sum of one symmetric and one inverse symmetric matrix. X = -4 -3 \2

A: The given matrix is: X=31130-4-3261

Q: -3 3 -1 -2 -5 - 3 2 -3 Find the size of the matrix 3 1

A: Size of matrix defined by number of rows X number of columns

Q: Orthogonally diagonalizable the following matrix -4 -2) A = -4 5 2 -2 2 2

A:

Q: 2 1. -1 2 1. Matrix +2 Matrix -1 3 1.

A: The given matrix,        21-13+2-1211

Q: 1 2 -4] -1 -1 -3] Find the inverse of the 2 7 matrix using elementary row operations.

A: We find inverse using elementary row operation .

Q: 24 --8 Find the rank of the matrix A =0 1 -2 4 8 -18 rank(A) =

A: given matrix is  A=-24-801-2-48-18 to find the rank of matrix

Q: 1 -2 0 4 3 Calculate the rank of the matrix P = 1 1 -1 -5 -1 3 8 2 -12

A: The matrix P is,P=1-2043110-1-5-18382-12To find its rank.

Q: 0 -1 -2 Put the following matrix into RREF: 1 1 2 -1

A:

Q: Matrix Given A=  3 −1                 −3 1 compute 4A

A: Given that  Matrix A  To find the 4A

Q: 2 -1 0 1 5 2 1 -4 -1 -4 -1 6 -8 -5 -2 9 The rank of the matrix is The nullity of the matrix is

A:

Q: -3 -1 using adjoint matrix. Find the inverse matrix of B = 1 4 2.

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Q: Consider matrix A. -3 5 2 A = 8. -1 3 -8 A What matrix results from Enter your answer by filling in…

A: Explanation of the answer is as follows

Q: 1 -2 0 4 3 18. Calculate the rank of the matrix P 1 1 -1 -5 -1 8 2 -12 3.

A: Rank of a matrix is the maximum number of linearly independent rows of a matrix. The rank of a…

Q: (-1 7 -5 7. Let A = -4 11 -6). Diagonalize A if possible or explain why the matrix A is not -4 8 -3.…

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Q: 0 -2 3 2 3 Diagonalise the matrix

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Q: 1 -1 2 a) Find the matrix A if (3A) =0 2 0 3 -1 4

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Q: 2) 4 -4 A = -1 3 -4 1 -1 1. Find the inverse of the matrix

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Q: 1 3 1 -1 0 1 Consider the matrix A = -3 2 1 -2 1 4 1 6 1 3

A: Let us apply elementary row operations on the augmented Matrix [A|b] to reduce it in row reduced…

Q: 3 -4 Find the dimension of the matrix 2 4 -2 -5]

A: In the matrix Total number of  rows = 3 Total number of columns = 2

Q: -6 - 5 4 Compute 2(2A – 3B) if matrix A = 1 and matrix B = 3 - 5 2 -5 2(2A – 3B) = (Simplify your…

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Q: 7. 2 1 -1 2 Matrix + 2 Matrix -1 3 11

A: Topic:- matrix addition

Q: 3. 2 -3 The matrix product 4 1 1

A: Follow the next step for explanation.

Q: ܚ ܝ ܝܬ [12 Find A 1 of The Matrix_A - 32-1 [3 1

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Q: 3 В- 4 Write B and B¯'as products of elementary matrices.

A: Solution

Q: Linear Algebra

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Q: -1 Find the product of matrices of A = 1 and B -2 -1 3 0 2 1 -1 0

A: The given matrices are: A=-1310-2-1,B=3021-10

Q: 4] -9 0 -8 1 1 -2 -2 13 Consider the matrix -4 3 -1 2 1

A: let B=1-2-21342-43-90-121-81 claim- to find the right inverse of the matrix

Q: An A12 [ A21 A22. A22 = [-7 7]. Fill in the block matrix. -9 -5 where A11 A12 9 , A21 = [3], and -4…

A:

Q: 1 -2 2 . Find the inverse of the matrix A = 2 -3 1 | 3 -4 1

A:

Q: -4 1 -1 The rank of the matrix -1 -1 -1 7 -3 1

A: Given matrix is A = -41-1-1-1-17-31

Q: -2 0 4 3 1 -1 -5 -1 1 b) Calculate the rank of the matrix P = 8 2 -12 3.

A: P=1-2043110-1-5-18382-12