FIGURE P3.7 e + ? 2 k$\Omega$ 2 V b c a + ? d 1 k$\Omega$ 1 k$\Omega$ 5 V 2 k$\Omega$ 2 k$\Omega$ 1 k$\Omega$ 1 mA
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7: W + W + M = 2000 Show more…
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Key Concepts
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In Problems, use the results of Problems 37 and 38 to find the indicated power of the given matrix. $$ \mathbf{A}=\left(\begin{array}{ll} 1 & 1 \\ 2 & 0 \end{array}\right), \mathbf{A}^{5} $$
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Diagonalization
$39-46$ Solving a Linear System as a Matrix Equation Solve the system of equations by converting to a matrix equation and using the inverse of the coefficient matrix, as in Example $6 .$ Use the inverses from Exercises $11-14,19,20,23,$ and $25 .$ $$ \left\{\begin{aligned} 2 x+4 y+z &=7 \\-x+y-z &=0 \\ x+4 y &=-2 \end{aligned}\right. $$
Matrices and Determinants
Inverses of Matrices and Matrix Equations
$39-46$ Solving a Linear System as a Matrix Equation Solve the system of equations by converting to a matrix equation and using the inverse of the coefficient matrix, as in Example $6 .$ Use the inverses from Exercises $11-14,19,20,23,$ and $25 .$ $$ \left\{\begin{aligned}-2 y+2 z &=12 \\ 3 x+y+3 z &=-2 \\ x-2 y+3 z &=8 \end{aligned}\right. $$
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