1. (a) Consider the matrices A = 2 3] 5 789 [1 4 6 and B = 21 0 without finding the product AB, find the following. (i) row 2 of AB (ii) column 4 of AB -1 3 1 3 6 -1 2 2 1 3 (iii) (AB)31, the entry in row 3 and column 1 of AB. r

Q: How many "same" types of 1 by 3 matrices in reduced row-echelon form are there? (a) 2 (b) 3 (c) 4…

A: The general form of 1 by 3 matrix is, abc

Q: Suppose that A, B, and C are 5 x 5, 5 x 2, and 2 x 9 matrices, respectively. Determine which of the…

A: Matrix SizeA          5x5B           5x2C           2x9Find the size of the matrixa) ABb) BAc) ACd)…

Q: A = 2 4 −1 0 -2 9 , B = D= 0 −1 3 1) Use the above matrices to compute the following (where…

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Q: Suppose A, B and C are 2 × 2 matrices with det(A) = 3, det(B) = -2, and det(C) = 2. Find…

A: NOTE: Refresh your page if you can't see any equations. . properties of a determinant are where…

Q: Consider the following matrices: [1 2 3] 4; li 4 3] 3 2 1 [A] 1 [B] -4 1 3 -1. Find: b) 2[A] – 3[B]

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Q: 1 2 3 0 11 -2 3 5 1 78 o the columns span all possible 4 × 1 matrices?

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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: 1. Consider the following matrices: (b) [2 0 1 -2 ------# C= 1 3 D= 3 2 0 -1 -1 (c) A = 53 Evaluate,…

A: Consider the following matrices.To evaluate the following:

Q: 2. Given the matrices A and B, find the products AB and BA 132 23 A = -2 14 B = 14

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Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det(A² BC-1)?

A: Given A, B and C are 3×3 matrices. and A=-3,B=-2,C=6 Find the determinant of A2BC-1.

Q: compute the indicated matrices A + 2D

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Q: 3 2 . B = 3 and C =-1 For the Matrices A= 1 4 Find: (AT.B)+ 2 C

A: Given that, We have to find, Then we get, AT=1-32140…

Q: Find the following matrix product. Be careful to distinguish 2 x 2 matrices in the answers from 2 x…

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Q: Consider the following matrices: -(; ) -) -() 0. 1. -1 3 A В 1 -3 C = |3 4 2 1 2 2 -1 Perform each…

A: a A+B is not define because size of matrix A and B is not same  A is 2*2 and B is 3*2 matrix so...…

Q: Use the fact that matrices A and B are row-equivalent. 1 2 1 5 1 2 A = 3 1 7 2 2 -2 11 25 8 -1 8 1 0…

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Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det(A" A-1)?

A: Given that A,B and C are 3*3 matrices. To find det(A^TA^-1)

Q: 1 (4) s What can be said about the 2 matrices based on your result (d)? -0.5 -1.5

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Q: adioint of the matrix.

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Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det[(-3)A]? O 27 81 -9…

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Q: 10. Consider the following matrices: A = 13 0 1 3-5 1]. B A² BA CA DA 10-1 215 -3 4], C-[|-||---|| 0…

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Q: 2. Compute both AB and BA for the following matrices, and observe that AB + BA: -1 [] B= B-[83] and

A: To compute AB and BA for the following matrices, and to observe that .

Q: Show that A satisfying A P-¹BP. P-1 -4 2 0-21 0-2 and B (-4(2sqr (-2i(2sqr (-2i(sqrt( 2i(4sqrt(…

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Q: 4. Consider the following matrices : 4 A = -1 1 and B = -1 4 4 8 10 2 (a) Find the entries [A]2,3…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Find the area of the triangle with the points A(1, 1,5), B(3, 4,3), and C(1,5, 7) by using the cross…

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Q: -3 4 B = -1 | %3D 4 | 0 4 3. C = -2 5 1 D = 4 -2 0 1 Using the above matrices find DB

A: Given matrices are

Q: Find A-E and the elements from the matrices

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Q: Which do you find easier? 3 1 (₁ - ( ) -- (3) (a) A = B = -1 1 1₁- (b) A = ()--(²3) B = -2 15 2 2-2

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Q: compute the indicated matrices 3D - 2A

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Q: 5. ( 4 0 -2) D= -2 1 -2 5 A= B = (-1 4 3) 3 3 (1 -' H= (3 3 2 E= 5 0 -1 4 -1 G= -2 5 F = (3 -2)…

A: Given-  A = 51          B = -143         C = -2532        D = 40-2-211134E = 33250-1      F = 3-2…

Q: Find an LU -9 -9 0 2 -45 -63 72 62 L U = factorization for -8 -8 8 8 -104 -111 56 36

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Q: -18 3 7 12 13 -2 3 9 11 5 3 4 8 -3 -15 7 8 4 8 -6 2 -8 6 -2 19 -8 26 -18 16 -13 7 4 Matrix A Matrix…

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Q: 4 1 A = -1 1 and B = -1 4 4 8 10 (c) Use the definition of matrix multiplication given in Beezer…

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Q: 11 4 -1 0 1 -1 2 4 5 6 3 4 0 -4 3 6 3 -7 5 1 -1 6 7 3 -3 -1 -5 2

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Q: Q4. (A)_ If a-12 4 68 10; 31415; 24 6 8 10; 1 234 5; 4790 61. find the sub matrices with explain it.…

A: Remark:  Let a be an m*n matrix, then a(:, p) gives  sub-matrix of order m*1 with elements of p-th…

Q: Use the inverse matrices to find (AB)¯¹, (A7)¯¹, and (24)¯¹. 1 1 1 2 2 1 3 1 244 A-1 = (a) -2 1 3 2…

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Q: n If A, B, and C are 2x2 matrices; and det(A) = 5, det(B) = 1, and det(C)=-4 then compute:…

A: Given A, B, C are 2x2 matrix. det(A)=5, det(B)=1 and det(C)=-4. We have to find, det2CTB2C-1ATC-1.

Q: Given that matrices A and B O 2] A = |1 0 2 lo o 1] [o o 21 [o 2 and B = 0 Lo 1 01 Where 1 2 3. Find…

A: A=002102001 and B=020012013