Using the Matrix Calculator we get this:(I left the 1/determinant outside the matrix to make the numbers simpler)Then multiply A-1 by B (we can use the Matrix Calculator again):And we are done! The solution is:x = 5 y = 3 z = −2Just like on the Systems of Linear Equations ...
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We can also use a calculator to solve a system of equations with matrix inverses. Glossary identity matrix a square matrix containing ones down the main diagonal and zeros everywhere else; it acts as a 1 in matrix algebra multiplicative inverse of a matrix a matrix that, when multiplied by ...
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For the following exercises, use a calculator to solve the system of equations with matrix inverses. 43. 2x−y=−3−x+2y=2.32x−y=−3−x+2y=2.3 44. −12x−32y=−432052x+115y=314−12x−32y=−432052x+115y=314 45. 12.3x−2y−2.5z=236.9x+7y−7.5z=−...