How many free variables does each augmented matrix have? None One Two Three > 1 02 01 8 00 0 14 4 7 000 0 0 0 100-8 -5 0 1 0 0-10 000 0 000 0 1 -6 4 0 0 0 -8 0 0 0

Q: Use row operations to change the matrix to reduced form. 10-5 1 01 6 0 00 4 -8

A: Here, to convert the given matrix into the reduced row echelon form. That is, each row of the matrix…

Q: Use row operations to change the matrix to reduced form. 1 1 1 15 3 4 6 20 12 1 1 1 15 3 4 6 20

A: Please see the attached image for the solution.   If there are queries or if the image is not…

Q: 1 Find a matrix P that satisfies P 1 9 1 2 0 3 0 900 23 1 7 1 1

A: We have to find the matrix P that satisfies the given equation.

Q: 5 -3 Find the matrix A if (I+ 2AT) ¯ = | 1: -2

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Q: 121 A= 4 4 5 677 B = -7-76 21-1 45-4 Are these matrices imerses of each other?

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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: Note that the only entry in a 1 x 1 matrix is on the diagonal. The upper-diagonal of a matrix are…

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Q: Use row operations to change the matrix below to reduced form. 1 2 -2 05-15 1 0-1 3 1 2 - 2 0 5-15 0…

A: To Find: Reduced form of the matrix

Q: Find the transpose of the matrix. 1 2 6 4     2 7 6 5 6 6 7 0 4 5 0 6

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Q: 1 2 0 Determine if the matrix A: -1 1 3 is invertible or not. EXPLAIN! 3 -2 -8

A: Given matrix A is not invertible.Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Use A−1 to decode the cryptogram.

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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: -1 9 -15 29 17 Y-[-15 29 1 9 -5-2 24 -8 -3 W -11 15 X = = -4 6 -17 8 -20 -3 -2 Z -16 0 12 9 >>> I…

A: To perform the matrix operation X − Y, we subtract each corresponding element of matrix Y from the…