Find the inverse of the matrix B= B-1 = bsin (a) f dr 7 = 4 1 -2 3 3 -3 -2 -3 3 00 € Ω Use B-1 to solve BT = d, where d 2 2 E

Q: Solve the matrix equation for X: 1 -1 2 - 14 -2 0 X 4 0 1 5 -1 3 i i X = i i

A:

Q: Find the LU factorization of the matrix A, where 3 -5 2 3 2 -2 A = -1 -6 1 -1 -4 1 2 1 2.

A: We know that A = L U where L is the lower triangular matrix and U is the upper triangular matrix.

Q: First question: Find the inverse and determinate of the matrix A = [??H] -1-3 1 3 60 1 0 1 ||

A:

Q: Assuming that all matrices are n x n and invertible, solve for D. CABT DACTB = CAT.

A:

Q: Solve the matrix equation AX = B for X. 3 1 34 *)-1] B= 42 5 6 X = A =

A:

Q: Show that the matrix A is positive definite A = 2 1 12

A:

Q: 3 Compute x using the vectors w = -4 and x = 2 - 5 2 x = (Simplify your answer. Type an integer or…

A:

Q: Matrix  A = a11 a12 a21 a22 a31 a32 B =  b1 b2 C = c1 c2 c3     Find C*A. Find C*B.

A: The product of matrices is given as follows

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

A:

Q: Demonstrate that A A-1 = A-1 A = I

A:

Q: Solve the matrix equation AX = B for X 8 1 A = B = -1 2 - 13 X =

A:

Q: 1 3 -1 For the given matrix A=-2 1 2. Find the inverse matrix ? 053

A: From the given problem:   AT=13-1-212053 So,   A=1-20315-123

Q: Solve the system of equations using the inverse of the coefficient matrix of the equivalent matrix…

A:

Q: Express the matrix A = as the product of elementary matrices. 1 2 2 10 2 31

A: Elementary square matrix :- A square matrix of order n is said to be an elementary square matrix if…

Q: Solve the matrix equation AX = B for X. A = 1 -2 -3 4 6 -1 -2 - 1 1 7 B= 6 5

A: Given: The matrix A=1-2-3-1461-1-2 and B=765. To find: Solve the matrix equation AX=B for X=???.…

Q: Use the inverse matrices to find (AB)-1, (AT)-1, and (2A)-¹. 1-2 ----C -1 A-¹ = B-1 -2 5 (a) (AB)-¹…

A: To find:  and .

Q: -1 11 3 -1 1 -1 3 4 A=

A:

Q: Determine the value of x so that the matrix is singular (does not have an inverse) Which is the…

A: Note that, the matrix is said to be singular if the determinant of the matrix is 0.

Q: Question -x1 + 3x₂ = 2 2x₁ + x₂ + 4x3 = 3 x2 + 2x3 = 4 [A-¹|I], Find A-¹. (a) Using [IA] (b) Find…

A:

Q: Find the matrix A if 4 1     −1 3A =  3 4     1 2. A =

A:

Q: Solve A x A T matrix: A = -2  1  -1 3   -3   2

A:

Q: 1 6. Given that A = -1 and B = Which of these matrices equal (AB)'? -2 0 (c) 0. (a) 0. (b) (d) -2 -2…

A:

Q: Write equations z + 2y + 3: = a, y – z - b, and 2y + 2: - c, as the matrix equation ()-) A and then:…

A:

Q: Solve the matrix equation AX = B for X. X= A = 1 1 42 B = 2 3 5 10

A:

Q: Consider the matrix: 1 2 -2 0 -1 3 4 1-1, Perform R3 - 2R2: 1 2 0 0 3 2 4 3

A: Given query is to perform the indicated matrix operation.

Q: 3 1 Let A Solve the matrix equation -3 -1 XA - X = 2AT + I for X.

A: To solve the matrix equation XA-X=2A^T+I

Q: -2 5 1 -2 4 1 -3 6 2 x1 X2 X3

A:

Q: Consider the matrix A = Calculate a22 = 8 5 d n -( :-(29 766 b f 468 h с Calculate 932 = a e

A: It is provided that: A=852766468·dngbfahce. We need to calculate a22, a32.

Q: Solve the matrix equation for x -2 1 4 3 2 1 -1 -1| X = 6. 7 8. 9. 1 1 -4 1 3 7 9.

A: The solution is given in the next steps.

Q: 5. Consider the matrix -1 3 0 0 1 0 3 A = 1 2 (a) Find A-1, the inverse matrix of A by using your…

A:

Q: please show all work 3. Consider the following matrix: B =  (a) Does this matrix have an…

A:

Q: Write equations 3.x – 4y = 7 and 2x + y = 1 as the matrix equation - A() - (1)- and then: Calculate…

A: given equations;  3x-4y=7--------(1) 2x+y=1---------(2) now we formulate the equation as follows A=…