![]() ![]() The amount invested at 9% was twice the amount invested at 5%. For example, in the following sequence of row operations (where two elementary operations on different rows are done at the first and third steps), the third and fourth matrices are the ones in row echelon form, and the final matrix is the unique reduced row echelon form. ![]() The annual interest earned on the three investments last year was \($770\). 0:00 / 10:18 Solving a 3x3 System of Equations with Gauss-Jordan 141-45.b HCCMathHelp 110K subscribers Subscribe 30 Share Save 6.6K views 8 years ago Using the Gauss-Jordan elimination. ![]() \): Applying \(3×3\) Matrices to FinanceĪva invests a total of \($10,000\) in three accounts, one paying 5% interest, another paying 8% interest, and the third paying 9% interest. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators. The goals of Gaussian elimination are to make the upper-left corner element a 1, use elementary row operations to get 0s in all positions underneath that first 1, get 1s for leading coefficients in every row diagonally from the upper-left to the lower-right corner, and get 0s beneath all leading coefficients. This lesson demonstrates how to solve a 3x3 system of Equations using Gaussian Elimination with back substitution. ![]()
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