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LAB ACTIVITY 3.16.1: MATLAB: Cramer's Rule This tool is provided by a third party. Though your activity may be recorded, a page refresh may be needed to fill the banner. 0 / 7 MATLAB: Cramer's Rule In this activity you will find the solution to a system of linear equations using Cramer's Rule. Consider the system of linear equations: 4x+ y = 5 2x - 3y =13 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 using ratios of determinants. x = det (C1) /det(C) y = det (C2) /det(C) Utilize the following linear system of equations for this activity. x1+ x2 - x3= 6 3x1 - 2x2 + *3 = - 5 x1 + 3x2 - 2x3 = 14 Script Save C Reset MATLAB Documentation OUT D WN 1 Create the coefficient matrix A and column matrix of constants b. Initialize the matrices Al, A2, and A3 as matrix A. %Replace the appropriate columns in Al, A2, and A3 with the column vector of constants b. 00 Find the solution for x1, x2, and x3 using ratios of determinants. Run Script

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