5. Solve the system of equations 3z-2z +2z = 10 z + 2-3z = -1 4, + za+2, = 3 (a) by Cramer's rule and (b) by using inverse matrices.

Q: Find a 2x2 matrix X that satisfies the matrix equation 45 X + 4 6 3 4 X. 1 2 23 x-[] -3 3 X= -1 3 A…

A: Given- 4545x+1023=3412x To Find- 2×2 matrix x such that it satisfies the above condition.

Q: The matrix equation (Ax = b) 2 1 1 x2 1 2 has no solution. We wish to find the best approximate…

A: Please check step 2 for the solution.!

Q: [2 2 21 1-Extract the matrix a=|4 4 4|

A:

Q: [4 5] The inverse of the matrix C = is C- Use this fact to solve the system CX - D, where D- and X…

A: The matrix C=-352-4 and the matrix C-1=-124523. Also the matrix D=50-24. It is given that CX=D.…

Q: Linear algebra problem

A:

Q: In a system of forces, the relationship between two forces F1 and F2, both in Newtons, is given by:…

A:

Q: Solve the system of equations 3y 1x 36 - - - 8x by converting to a matrix equation and using the 6y…

A:

Q: B- Find the matrix A :- 3. A + -5 4 1. -1 3.

A:

Q: 6. Find the inverse of the matrix if it exists by using elementary row operation, 2 4 1 A--1 1 -1 4

A: Given: A=241-11-1140 Since, A=IA where I is a 3×3 identity matrix. Therefore, we have:…

Q: solve the matrix equation for X -1 1 -1 5 7 8. 3 0| X = 4 -3 1 2 -1 3 5 -7 1

A:

Q: 5. Solve the system of equations 3x, - 2x2 + 2.xs = 10 *1 + 2x2 – 3xs = = -1 4x1 + x2 + 2x3 = 3 (a)…

A:

Q: Solve by elimination method and matrix inversion               –5x + 3y + z = –15…

A: -5x + 3y + z = -15 ............................. (1) 10x + 2y + 8z = 18 ............................…

Q: Solve the matrix equation AX = B for X 3 - 2 -1] - 2 A = - 3 - 2 B = 14 %D - - | 2 2 1 4 X =

A:

Q: What are the minor and cofactor of 3 in matrix. 3 2 5 8 -4 4

A: According to our guideline, we can solve only first question of multiple question. If you want…

Q: 2 Discuss whether the matrix A 1 2 0 is diagonalizable or not. -3 5 2 ||

A: A matrix is said to diagonalizable if for every eigen value's algebraic multiplicity is equal to its…

Q: 2 -3 For matrix A = -2A? will be %3D -1 4

A: See the attachment.

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

A:

Q: If Q is 3 x 2 matrix with orthonormal (:) 3 then 4 columns and a. ||Qx|| = 1 b. ||Qx|| = 25 O c.…

A: Option " d " is correct answer. Thankyou !

Q: Find the matrix "x" that satisfy the equation 5 -1 0 - 4x = 4 4 -2 -5 5 -26 - 2 6 0 2

A: Subtraction of two matrices: abcd-efgh=a-eb-fc-gd-h Subtraction of two matrices is defined only if…

Q: [30 If A= 2 0 LO 1 2 −2], find adjoin matrix 1

A:

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

A: Topic:- Matrix  x=1 and y= -2

Q: B. Given Matrix A, B, and C below,

A: Given, the matrix

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

A:

Q: 2.4. Explain why: (a) If the third column of B is zero, then for any matrix A, the third column of…

A: Matrix: A matrix is a rectangular array represented in the form of or Here A represents the matrix…

Q: 1 0 2 -2 1 –1 3 find cofactor of matrix .a -5 -3 -6 6. 3 7 -2 -1 -2 .b 6. -6 -3 -7 2 .C -5 -6 -2 3 1…

A: Cofactor of a particular element of in Matrix can be obtained by using the particular sign and…

Q: Solve for x and y in the matrix equation below: [10 3 2 6x -9 3 -4 4על 2. 4 3 [1 2-1 x -8 -3 3x 0

A:

Q: 6. Find the inverse of the matrix if it exists by using elementary row operation, 2 4 1 -1 1 -1 4

A:

Q: 8. Solve the matrix equation Ax = b where A 1 0 and b %3D -4

A: The given matrix equation is - A = 121130-1-41 and b = 11-1 Converting the given matrix equation…

Q: Use matrices to solve the system.

A: For a linear equation system to have a consistent solution, number of variables should be equal to…

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: 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: 1 Use the inverse matrix -5 5 x + y + Z = 0 5x + 7y + 6z = 4 5x + 8y + 7z = 2 (x, y, z) = = ( 1 -1…

A: Given the inverse matrix is  11-1-52-15-32. The system of linear equations is…

Q: If A = 1 y and the transpose of the matrix is equal to the inverse of the matrix then y =

A:

Q: -use an inverse matrix to solve the given system of equations. X2 +x, =1 -x, +x,+2x, +x, =-5 x3 -x,…

A:

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: Solve the same system using Cramers Rule Augmented Inverse of the coefficient matrix 4x-zy=0 3x+3y=5

A:

Q: 1e 1 2 0 3 1 -1 7. 7. Is -2 0. 0. 4 211

A: Given: Augmented matrix;     To determine: Solution of the system by converting it into an identity…

Q: 1 Find the condition number of matrix -2 -3 4

A:

Q: Solve the matrix equation Ax = b where 1 А — -3 -2 2 b = -6 -1 -4

A: This question is related to solutions of linear equation using matrix.

Q: Suppose 1 3 6. A = 4 -6 -1 3 Use Mathematica to solve the matrix equation A· X = B for (:) () 1 (а)…

A:

Q: 1. In two closed loops of an electrical circuit, the currents flowing are given by the simultaneous…

A:

Q: QUESTION 2 Solve for the variables x, y, and z in the system of 2x + 4y + 2z = 2 4x + 6y + 2z = -1…

A:

Q: Reduce the quadratic form 3x2+5y2+3z2-2yz+2zx-2xy into a canonical form of the matrix.

A: Given quadratic form 3x2+5y2+3z2-2yz+2zx-2xy.

Q: 3. Use an inverse matrix to solve each system. x+y+z = 1 a 2.x +4y = -2 6y – 5z = 4

A:

Q: 1. The system of equations given by 2z, + 273 + z3 = 5, 2 +3z3 +z3 = 2, 3r + 4z, + 5z3 = 1, is…

A: We are given the system of linear equation which we need to convert into matrix form 2x1+2x2+x3=5…

Q: Use the fact that the inverse of -1 1 -1 1 -1 1 1 3 IS -1 1 -1 0 -1 1 -2 1 -1 to solve the given…

A:

Q: Solve the following system of equations by back substitution, or elimination. х — у — z = 2 y + 3z =…

A: We are  given the 3 equations: x-y-z=2--(1)y+3z=5 ---(2)5z=10     ---(3) From(3), we have  z=105=2…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.