tell why neither one or both of the following matriceshas a null space of dimension 3 and a column space of dimension 2. A=[1 2 3 4 1,2 3 5 6 1,3 4 7 -8 1] B=[3 1 0 1 3,0 5 0 1 1,0 0 7 11]

Q: Determine which of the following matrices are in reduced form: 1 -2 4 6. 3 1 3 A = 1 -1 2 4 B= 1 0 0…

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Q: Determine the regression equation 1 2 3 4 5 6. 7 8 y 0,5 0,8 1,2 1,9 3 4,8 7,5 11,9

A: Note: Commas are taken as decimals for computation. Mean x=∑xin=(1+2+3+4+5+6+7+8)/8=36/8=4.5Mean…

Q: Consider the matrices 4 2 1] 5 4 B = 2 2 3 1 A = X = -3 0 1 2 0 8 Which of the following matrix…

A: We have  Matrix multiplication AB defined only if Number of columns of A = Number of rows of B

Q: 1 1. a. 0 b. с. 000 0 0 0 1 1 1 1010 0010 0 0 0 0 0 1 100 0 0 1 1 0 0000

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Q: Show that A and B are not similar matrices

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Q: Which of the following matrices is not in row-echelon form? () 1 0 2 4° 0 0 1 5 0 0 0 0 (A 1 0 2 4°…

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Q: 2-3 Find AB for each of the following metrices:- -lo DA•[ -21, 8-[] L 3 2) A= 3 4. 2 -33 5 13 1J

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Q: Which of the following matrices are diagonalizable? Justify your claim. 5 -18 -32 a. M, = 0 5 4 2 -5…

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Q: Show that A and B are not similar matrices

A: Given:

Q: 5. Write the following matrices as rectangular arrays 80 = 1 813 = i=j 9. -Dg (7,-13, 10-11) b. Dg…

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Q: Decide which of the following matrices are in echelon form, which are in reduced echelon form, and…

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Q: What is the The space of all diagonal n x n matrices. dimension of the following linear space?

A: Given: The space of all diagonal n×n matrices. To Find: The dimension of the given linear space.

Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. 1 4 6…

A: We have to check wheather they are in row echlon

Q: Which of the following matrices is singular? O a. -1 2 3 1 1 1 2 2 b. -1 2 3. 0 1 -1 -1 3 -1 2. O d.…

A: A square matrix is said to be singular if it is non-invertible. To determine if a matrix is…

Q: Diagonalize the following matrix: 1 13 5 7 -5 -7 -1 -1 7 90 06 0 00-12 060 − 1 1 − 1| -1 0 1 1 10 1…

A: Given matrix 11357-5-7-1-17

Q: compute the indicated matrices B -C

A: To compute the indicated matrices B – C Given information:

Q: b) Find the rank of the following matrices: [6 2 A= 0 7 Lo 3 12 8 [4 2 3] B=8 4 6 [3 5 o] 4

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Q: Find a composite transformation matrix composed of elementary rotations, Rx(0), Ry(0), and Rz(0)…

A: Sol

Q: Find the final amount of money in an account if $8,100 is deposited at 6.5% interest compounded…

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Q: Find the rank, as well as bases for the row space and colum space of the following matrices: Г1 2 3…

A: Note: According to our guideline, we will answer the first question as the exact one is not…

Q: A - [4 = 2 5 5 c=[-³3 C - 1 3 2 3] 0 - 2 1 B = D= 1 5 6 1 0 - 8 2 - 4 1 5 0 - - 3 1 2

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Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your c 1 -7 -8 1 1…

A: The matrix is said to be in row echelon form if: The first non-zero element in each row, called the…