[BUY ANSWER] MAT 350 3.16 MATLAB: Linear equations using Cramer’s Rule.

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MAT 350 3.16 MATLAB

In this activity you will find the solution to a system of linear equations using Cramer’s Rule.

Consider the system of linear equations:

Create the coefficient matrix C and column matrix of constants d.

C = [4 1; 2 -3]

d = [5; 13]

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MAT 350 3.16 MATLAB

In this activity you will find the solution to a system of linear equations using Cramer’s Rule.

Consider the system of linear equations:

Create the coefficient matrix C and column matrix of constants d.

C = [4 1; 2 -3]

d = [5; 13]

Note:  Cramer’s Rule only applies to systems of linear equations with invertible square coefficient matrices.

Initialize the matrices C1 and C2 to equal C.

C1 = C

C2 = C

Replace column 1 in C1 with the column vector of constants d.

C1(:,1)=d

Replace column 2 in C2 with the column vector of constants d.

C2(:,2)=d

The solution can now be found

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using ratios of determinants.

x = det(C1)/det(C)

y = det(C2)/det(C)

Utilize the following linear system of equations for this activity.

Create the coefficient matrix A and column matrix of constants b.

A = [1, 1, -1; 3, -2, 1; 1, 3, -2]

b = [6; -5; 14]

Initialize the matrices A1, A2, and A3 as matrix A.

A1 = A

A2 = A

A3 = A

Replace the appropriate columns in A1, A2, and A3 with the column vector of constants b.

A1(:, 1) = b

A2(:, 2) = b

A3(:, 3) = b

Find the solution for x1, x2, and x3 using ratios of determinants.

x1 = det(A1)/det(A);

x2 = det(A2)/det(A);

x3 = det(A3)/det(A);

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