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

Q: 4 1 34. The rank of the matrix A = 2 -1 is -7 -14 4 8 -1 (A) 1 (B) 2 (C) 3 (D) 0 (E) 4

A: To find The rank of a given matrix A.

Q: j 2 -1 + -1 -U 1 -2 +

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Q: find the inverse matrix  of 1 1 -4 -2 -1 7 1 -1 -1

A: To find The inverse of the given matrix

Q: If A, B and Care 4 x 4 matrices, and BAC = -21₁, then what is the inverse of A? (a) -2B-¹C-¹ (b) BC…

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Q: solve the matrix equation for X -1 1 -1 5 7 8. 3 0| X = 4 -3 1 2 -1 3 5 -7 1

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Q: Determine whether the matrix is positive, negative definite or indefinite [7 4 7] A= 4 7 4 4 4 7

A: A matrix is a positive definite if the matrix is symmetric and all its eigenvalues are positive.  A…

Q: 1 0 0 0 0 1 2 -6 2 -8 10 1 0 1 0 3 -2 -5 -16 |

A: We have to multiply: 1000012-60010003-22-8-5-16

Q: Rewrite the simultaneous linear equations above b. Hence, calculate the inverse of the above matrix.…

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Q: 2 -3 For matrix A = -2A? will be %3D -1 4

A: See the attachment.

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: Q1 (d): Find the rank of the matrix A. 1 0 5 0 1 -2 2 -2 -1 1 -6 3 -2 12 2 -3 0 2

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Q: Consider A = 112 0 1 2 (a) Find A-¹ by using row operations on [A1]. List the one you use in order.…

A: Given That : Matrix A=123112012 To Find : 1) A-1 using row operation 2) A-1 using row operation 3)…

Q: Determine the row rank of the matrix 145 2 8 10 3 64 Possible Answers: 3 0 1 2

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Q: adioint of the matrix.

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Q: Find the size of the matrix [3 2 −3 2 −5 −5]

A: Size of matrix is same as order of matrix

Q: On the augmented matrix A below, perform all three row operations in the order given, ((a) followed…

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Q: i 2 -1 -4 +5 1 -2 +1 Solve Matrix

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Q: jKk 2 -1 -4 -2 +1 1-2 Solve Matrix

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

A: Topic:- matrix addition

Q: Construct an example of an 4×3 matrix with rank 1: You can resize a matrix (when appropriate) by…

A: Rank of Matrix: A n×m matrix has rank k , if k is the  maximum  number of its linearly independent…

Q: - 9x + 4y = 3 5x-8y 2

A: Topic = Matrix

Q: 2 points) (a) Find the inverse of the matrix -1 -2 5 A = 1 3 -9 1 -6 -2 3 A-1 = -3 1 -4 -1 -1 p) Use…

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Q: Find the matrix product AB, if it is defined. -13 A = = ^-[-22] -B- (-:22] I -16 -64 6-1 4-6 2-6 1…

A: Given query is to find the product of the matrix.

Q: (a) R₂ (b) R3 = 4r₁ + r3 (c) R3 = : -4r₁ + r₂ = = 1r₂ +r3 A = 1 4 -4 3 5 6 13 -5 -1 1 -13 1

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