(3) x + y +z + w = 13 2x + 3y – w = −1 −3x + 4y + z + 2w = 10 x + 2y − z + w = 1 B. Solve for the inverse of the following -2 −1 1 4 (4) A = 1 2-3 3-4

Q: Determine the determinant (using cofactors) of the matrix below: 1 -8 -6 -3 -1 -9 -3 0 -1

A:

Q: If A = 6. B= [-3 , 2] and C = what is the %3D 3 -2 determinant of (AB – 2C)" ? |

A: Given that  The matrices  To find the (AB-2C)^T

Q: Express A as a product of elementary matrices.  Expressing the inverse of A as elementary matrices…

A: Consider the given matrix  A = 92-14              Now we will convert the matrix A I  as  I…

Q: 2. Assume that all the operations are properly defined, solve the following equation for the unknown…

A: NOTE: Refresh your page if you can't see any equations. .

Q: What does interchanging any two rows (or columns) do to the value of the determinant?

A:

Q: H.W:- Find the determinant for the following matrices: 4 6] 1. X =-1 -4 answer: X =-108 3 2.

A:

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

A:

Q: Q3. Solve by Matrix Inversion Method the following set of equation: -1] [X1 1 X2 = 10 X3 -3 1 [2] 2…

A: We can write our question in the form of AX = B, and we need to find the X. For that find X = A-1B.

Q: Solve the following using the inverse matrix method: 2x - y + 3z = 9 x+y+z = 6 x-y+z=2

A:

Q: * For the matrix shown, Find the determinate 21 1 A = -5 6. 13 352

A:

Q: Q/ If you have the triangular matrix below, then the correct inverse of the matrix (A) is 0.473…

A:

Q: Find the standard matrix for the reflection of R² about the line that makes an angle of π/4(= 45°)…

A: Solution :-

Q: 5. Verify that the product of the non-singular matrix and its inverse from the previous problem is…

A: (5) Given matrix A=32−22 and its inverse is A−1=1102−223. We have to verify that AA−1=I2…

Q: 11.) Solve using matrices and Gaussian elimination: x + y + z = -3 -x + 3y + 2z = -8 2x + z = -3

A: Given: x+y+z=-3 -x+3y+2z=-8 2x+z=-3

Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x? + 2y2 + 2z2 - 2xy- 2xz -…

A: The objective is to find the symmetric matrix and diagonal form of the quadratic form…

Q: Q.2) Use Inverse matrix method to solve the following equations: *- y +z = 1 2r – 2y + 2: = 2 -3r +…

A:

Q: Find the value of z in the following system of lincar equations by using Cramer's rule: x- 2y + 2z 1…

A: Using cramers rule, value of x is evaluated. x= Dx/D

Q: [2 2 Give two different matrices B so that in each case B 2 2

A: Given matrix

Q: 7 Q8. Verify Cayley-Hamilton theorem for the matrix A = 5 and hence find its -4 -3 inverse.

A:

Q: If the determinant of the 2x2 matrix 3 a 2 b is 7, then what is the determinant of the 2x2 matrix a…

A: To find the determinant of matrix.

Q: Q.2) Use Inverse matrix method to solve the following equations: x - y + 2 = 1 2.x – 2y – 2z = 2…

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: and (96) = C1 A₁-3+4i with ₁ = Write the solution to the linear system [+] in the following forms.…

A:

Q: 2. Solve for x and y in the matrix equation below: x-y 4 2 [10 3 -1 4 3 -1] 1 2 4 x -8 2 6x -9 -3 3x…

A:

Q: For R1: y=2x2-3x-5, R2: y=x2-x-2,

A: answer is in next step

Q: fa 7x7 matrix A has det(A) = 1/4, compute the following determinants: (a) det(5A) (b) det(-3A) (c)…

A: Here given that A is 7×7 matrix and det(A)=1/4

Q: 5. Use the matrices to solve the x-2y+3z = 4 system: 3x- 4y+z = 4 2x +3y-4z = -2

A: We have to solve the equation by matrix method.

Q: x 2 s 2) = 1

A: