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: c1x1(a) + c2x2(a)+ . . . +cnxn(a) = x(a). Let X (t) be the n x n matrix with column vectors x1, x2,…

A: Given : Xt be any  matrix of n×n           : c be column with component c1 ,c2 , . . .  . . .  ,cn…

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: Let A =  -2 1     0 3     and    B =  2 -3     1 −2. Find a matrix X satisfying the matrix…

A: The given matrices, A=-2103 and B=2-31-2 We have to find the matrix X, that satisfies 2A+X=3B

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

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Q: Explain the fact” The determinant is zero when the matrix has no inverse”.

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

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Q: -1 -1 | | 4. For the semidefinite matrix A = -1 2 -1 write x' Ax as a -1 -1 sum of two squares.

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Q: ) Solve the system using Cramer's Rule. x 4x + 9y = + 6y = -3 1 First, write the system as a matrix…

A: Consider the system

Q: TRUE OR FALSE AND WHY If A is a 2 x 2 matrix with a zero determinant, then one row of A is a…

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Q: t, = 1 t2 = 2 t3 = 3 t4 = 4 C, = 11 C2 = 29 C3 = 65 C4 = 125 1 1 1 1 11 1 4 8 29 1 9 27 65 1 16 64…

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Q: 2. Find x, y and z x- 3y + 5z = -9 2x - y-3z = 19 3x +y+ 4z -13 %3D (a) Use inverse matrix method…

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Q: Find W −1 using Gauss-Jordan method. Q4) Confirm that you found the inverse of the matrix.

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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: 1 2a and its cofactor matrix C = 2b -2 **Suppose the matrix A =| 2а 4 20 4 answer the following…

A: Explanation of the answer is as follows

Q: [2 1 ° b) Find the inverse of the matrix L = |3 4 1 with the determinant of the matrix L = -2. L3 2…

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

Q: Determine the real number values of the constant a with which the matrix A= (14 a1)  is positive…

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Q: Let matrix A = 1 1 1 3 2 1 −2 3 1 (a)Find two distinct row echelon forms of A. (b) Find the…

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Q: 6. Let A be a 2x 2 matrix such that (a) The above equations can be written in the form A -1 0 -1 0 B…

A: The objective is to find the matrix B. heck whether the matrix B is diagonalizable or not and also…

Q: Suppose V₁, V₂ € R³ are nonzero column vectors and V3 = 2v₁ - 32. What is the determinant of the…

A: Given: Suppose  are nonzero column vectors and  We have to find what is the determinant of the…

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: How would I write the following 2 functions in matrix notation? Q(h) = (h, 2h, 3h) F(x, y, z) =…

A: We have to write the function as matrix notation. The given function is Q(h) = (h, 2h, 3h) Clearly,…

Q: Solve the matrix by using Cramer's Rule method 2x+5y+2z=10 3x+8y+z=3 2y+5z=1

A: To solve the matrix by using cramers rule method.

Q: 2x + y =2, 4x+3y=7. Find the solution(x=?,y=?) by using the Matrix calculation method including the…

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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.