4 Consider the following linear system of equations AX = B: 2 8 11 6. [1] Evaluate the value of the determinant |4 by using the diagonal method. [2] Is the matrix A singular matrix? Explain your answer. (3] Find the inverse of the coefficient matrix A by using the Gauss-Jordan method.

Q: 2. Solve for the determinant of the following matrix. 1 2 3 2 1 3 4 4 3 14 N. 2 1 4 3 1 2

A: Let's find determinant of given  matrix.

Q: Solve the system of linear equations given below. -11х1 + 13х2 — 15хз + 25х4 %3D 101 -19x1 + 33x2 +…

A: Here is the solution

Q: If the determinant of the square matrix A is not zero, then the system (a) Ax = b has a unique…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 3. Consider the matrix 1 2 h 1 M = 13h2 2383 Determine the value(s) of h such that the matrix is the…

A: To Determine: consider the matrix  and determine the value of h such that the matrix is the…

Q: If a 4 x 4 matrix A with rows v, V2, V3, and v, has determinant det A = 7, 2v + 6v3 V2 then det 3v +…

A: If a 4×4 matrix A with rows v1,v2,v3 and v4 has determinant det A =7.

Q: 4. Determine whether the given matrix is invertible without computing its determinant. -3 0 1 3 5 8…

A:

Q: A. Solve the following matrices using the following methods (a) matrix method, (b) determinant…

A: Given the simulation equation,…

Q: 2. Find the determinant of the following matrix by reducing it to an upper triangular matrix by…

A: Given:    A=-1220211-131-122410  upper triangular matrix using elementary row operations:…

Q: 2.3 Find the determinant of the matrix B below  B = ( 2 1 1 0 5 −2 1 −3 4 )

A:

Q: Consider a 3 x 3-matrix whose first row is a vector a, the second row is a vector b, and the third…

A:

Q: -1 2 4 1 2 4 3 14 2 N N M 4 2.

A: Given that, 1-1243124-11322142

Q: Evaluate the determinant of the given matrix by any legitimate method.

A: Given, A=234560700

Q: 2. Consider the following system of equations 3x + 4y + 5z = 66 7x + 4y + 3z = 74 8x + 8y + 9z = 136…

A:

Q: 2.- Obtain the determinant of the following matrix [A] 2 -1 -3 2 1 2 [A] 4 -3 0 6 -1 2.

A: As per given by the question, Determinant of the given matrix,…

Q: If a 4 x 4 matrix A with rows v1, v2, V3, and v4 has determinant det A = 4, %3D 4v1 + 5v2 7v1 + 9v2…

A: See the detailed solution below.

Q: A 3 x 3 matrix M is given as (x 1 x-1 M 16. =2 1 1 x zero, then A 2x2 - 3x - 1 = 0 B 2x2 + 3x + 1 =…

A:

Q: If a 4 x 4 matrix A with rows v₁, U₂, U3, and 4 has determinant det A = 9, 5v₁ + 20₁ then det V2 U3…

A:

Q: Consider the following matrix 1 4 -1 -3 1 -2 2 7 A = 1 0 -1 2 3 5 -3 -5 x2 Ах b, where x = and 1 7 b…

A:

Q: For square matrix A, if its first row equals 5 times the third row, then its determinant is 0. True…

A: We are given with the matrix who is first row is five times the third row and we have to find the…

Q: Evaluate the determinant of the given matrix by any legitimate method.

A: Given that, 1-23-12-512-1419-922-2031-49-1415

Q: x + 2y + 3z =14 2x + 3y + 4z=20 3x + 4y + 6z = 33

A: Given: x + 2y + 3z =14 2x + 3y + 4z=20 3x + 4y + 6z = 33

Q: Given:  The linear system of equation is  2z + y − x = 5 2x + 3y + 4z= -1 4x +  y= -11 To…

A:

Q: Consider the matrix 1 2 A = 1 3 4 -3 8. (a) Is A invertible? If so, compute its inverse. If not,…

A:

Q: (d) Consider the system of linear equations Ax = b. Without actually computing the solutions of the…

A: (d) The reduced row echelon form of the given matrix is 100010001

Q: 7. Determine, using matrices, if the following system of equations is dependent. If it is dependent,…

A: Given system of equationx+4y-2z=-32x-y+5x=128x+5y+11z=30 converting above system of equation into…

Q: compute the determinant of matrix     A= (-3  -2   1   -4           1     3    0     -3…

A: Consider the given matrix A=-3-21-4130-3-34-283-404

Q: If A is a 5x5 invertible matrix, then the determinant of 2A is k|A| where k is equal to A 16 B 0 2…

A:

Q: 3- solve the following system of linear equations using Gaussian elimination approach (backward…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: Let [(1a)] Compute the area of the parallelogram determined by four points with position vectors i,…

A: As we know that area of parallelogram is =Base ×Height

Q: The following linear system of equationsis given.x, yand zare unknowns. 2z + y − x = 5 2x + 3y +…

A: Given:  The linear system of equation is  2z + y − x = 5 2x + 3y + 4z= -1 −4x −  y= 11 To determine:…

Q: Consider the system of equations x+2y+32 = 0 2−g=0 x + kz = 0. a) Calculate the determinant of the…

A:

Q: 1. Combine the methods of row reduction and cofactor expansion to compute the determinant. 3 4 -3 -1…

A: The determinant is, 34-3-1301-3-60-4368-4-1To solve this determinant using combine method of row…

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

A:

Q: -2 [1 Find the determinant of the matrix 3 L2 4 -2 by the row-reducing method 1

A:

Q: Consider a non-singular 2 x 2 square matrix M. If trace (M) = 7 and trace(M²) = 10, then %3D %3D…

A:

Q: 1. Use the Gaussian elimination to find the values of c, C2, C3, C4 in the following matrix…

A:

Q: Let A be any n x n matrix. Consider the system Aa = b of n-equations with n-unknowns. Is it true or…

A: We have to check wheather it is true

Q: In using the Cramer's Rule to solve a system of two linear equations involving two unknowns, what is…

A:

Q: 8. The Cramer's Rule fails to apply to a linear system Ax = b, where A is a square matrix, if (a)…

A: Solution: Given data, In Cramers rule we have to find the determinent and it is divided with 1.

Q: 1. Calculate the determinant of the matrix. -3 21 -6-12 0 21

A:

Q: Consider the following 3 x 3 system. [an a12 a13 a21 a22 a23 a31 а32 аз3 Use elementary row…

A:

Q: [1 1 1] The qr-factorization of the 3 x 3 matrix B is QR where R = 0 2 2 0 0 3 absolute value of the…

A: If A∈Rm×n has linearly independent columns then it can be factor as A=QRwhere'Q is m×n…

Q: 4. Find the general solution to the linear system, and then show that the row vectors of the…

A:

Q: = 1. Find the Suppose that a 4 x 4 matrix A with rows v1, V2, V3, and v4 has determinant det A…

A:

Q: b) Daisy chooses a new 2 x 3 matrix Y and defines M = I – XY. Daisy wants to write that XYM = MXY,…

A: ( “Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 2. The sum of the digits of a four-digit number is 23. The ones digit is 4 times the thousands…

A:

Q: 1. Choose three different non-zero integer values for the empty boxes and find the determinant of…

A: Let we assume three different non zero integers are 1,2 and 3

Q: Consider a 3 × 3-matrix whose first row is a vector a, the second row is a vector b, and the third…

A: given row  of  3×3  matrix  is          a   , vector      b   , vector c=2a+3b    , vector

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.