8 5 0 For the matrix A= 2 5 4 cofactor C23? %3D 4 4 9

Q: Solve the matrix equation AX = B, where 12 2 A= 0 2 1 B=0 2 21 2 13

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Q: Find w such that 2u + v 3w = 0. W = u = (2, 0, 0, -6), v = (-3, 5, 1, 0) 151 3'3'3' - X

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Q: 4 8 12 Transform the matrix into the reduced row echelon form. 2 4 1 1 2 0 0 0 1 Ob. 10 2 0 1 4 O c.…

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Q: Find the characteristic equation of the matrix: 4 C = 2 -2 2.

A: Characteristic equation of the matrix C is given by  det ( C - λI ) = 0

Q: 2. (i) Find a matrix X such that (ii) Find a matrix Y such that 1 - 32] x = [3] X -2 21 53 Y = 0 2²…

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Q: If the inverse of matrix A = 2-1 2. k 7- A 2c kc b+1 -k Findl the value of ktb+c =?

A: The solution is given below in the next step:

Q: can you help me with this problem, I really need help with this problem but it has to be done in the…

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Q: 6 Consider the matrices A = ( = (³₁ 5), B = ( 1 2 ) and C = (%) 6 i) Find the matrix product AB. ii)…

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Q: E = 5 -2 -4 3 2 2 -4 -4 -4 0 -3 2 3 2 4 4 -2

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Q: 4. Find the cofactor matrix for the matrix. 5 9 1 8 5 6 4

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Q: 3 1 A is a 3 x 4 matrix. If AB = -4 then which of the 5 -2 7 following is the size of B? О Зx2 O 2 x…

A: Since, A has size, 3×4 and, the product AB has to be defined, so, we must have, the size of B tombe…

Q: Diagonalize the following matrix. - 49 - 30 - 75 46 P = D = 00

A: As per our guideline we are supposed to answer only first question of a multiple type questions.…

Q: Find the row reduced echelon  matrix R and invertible matrix P such : R = PA             -1     1…

A: The given matrix is: A=-11-10-34114-6-4-2310-14. To find row reduced echelon form of given matrix,…

Q: Give a 4 x 4 elementary matrix E which will carry out the row operation R₂-4R3 R₂. E = Test that E…

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Q: Solve the matrix equation AX = B for X 3 0-27 91-8 -1 0 1 A = B= -31 3

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Q: 5. Suppose that the augmented coefficient matrix of Ar = b is (1 3 1 -1 0 bị 2 6 1 4 12 3 -2 1 ba 1…

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Q: 5 4) (2 5 5 0 For the matrix A = 2 what is the value of |A|? 3 7 9,

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Q: 3 x 9 4 =39 solve for x matrix problem

A: Solving the problem by matrix multiplication formula.

Q: 8.11. Let A = 2 -3 -3 -1 -2 211 1 TWIT -3 -1 4 1425 1 11 Compute det(A) and det (-AT).

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Q: [1 2 3 1 5 L5 6 0. Q3/: Consider the matrix A = 0 find A-1.

A: Given, A=123015560

Q: a2 If the columns of the matrix A = -1 are orthogonal, then 2 -1 2 az = 1 a. O b. az = -1 C. a3 2 d.…

A: If column of matrix  A are orthogonal then  B = A^T A  Elements B(i,j) = 0 for i is not equal to j.

Q: |2 0 if A=| -3 -2 4 and B= 1 find the Matrix X such that 3A+4X=5B 1 3

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Q: (6 2 2 1 4 3 2 9 For the matrix A = 4 what is the element in the third row %3D and second column of…

A: The given matrix is A=622414329. Recall the fact that the co-factors of matrix is defined as…

Q: Find the transpose of the matrix. -2 -1 D = 1 4 -3

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Q: For what value of "c" is the following matrix non-invertible? 2 1 -1 5 4 C 3 0 Oc = - 1 3 Oc = -3 Oc…

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Q: to find K and H with this augmented matrix. the way to solve the problem is by using pivots.

A: Given: -7x+6y+5z=-5-2x+5y-6z=5-3x-4y+hz=k   The augmented matrix for the above system:…

Q: A = 60- -5 1 0 0 9 2 M33 = A33 = 32

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Q: If A is 3 x 3 matrix with det (A) = 3, find det (3 O a. 33 O b. 1 О с. 32 O d. 3

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Q: [1 0 0 41 250 3 3 00 2 L4 3 2 1 ) Let, A = be a 4x4 matrix. Find det (A) and det (2ATA).

A: To find |A|   Also to find |2AT A|