In Exercises 45–48, translate the given matrix equations into systems of linear equations. [HINT: See Example 7.]
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Chapter 5 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
- 1. Use matrix inversion to solve for x, y, and z if:x + 2y + 2z = −1y − x − z = 02z + 3y + 3x = 1arrow_forwardAn industrial system with three industries has the input-output matrix D and external demand matrix E below. Solve for the output matrix X in the equation X = DX + E.arrow_forwardAn industrial system with three industries has the input-output matrix D and external demand matrix E below.Solve for the output matrix X in the equation X = DX + E.arrow_forward
- True or False: If X(t) is a fundamental matrix for the linear system x′ = Ax, thenX(t)T is a fundamental matrix for the linear system x′= ATx.arrow_forwardIn a small barangay, there were a farmer, a baker, and a grocer and has the input-output matrix D and external demandmatrix E shown below. Solve for the output matrix X in the equation X = DX + E.arrow_forwardPart D asks fir thr coordiante matrix it [x]B, giventhe coordinate matrix [x]B'arrow_forward
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