In Exercises 7–26, use row reduction to find the inverses of the given matrices if they exist, and check your answers by multiplication. [ HinT: See Example 2.] [ 1 − 1 3 0 1 3 1 1 1 ]
In Exercises 7–26, use row reduction to find the inverses of the given matrices if they exist, and check your answers by multiplication. [ HinT: See Example 2.] [ 1 − 1 3 0 1 3 1 1 1 ]
Solution Summary: The author calculates the inverse of the matrix left[cc1& -1& 3 0& 1
In Exercises 7–26, use row reduction to find the inverses of the given matrices if they exist, and check your answers by multiplication. [HinT: See Example 2.]
Determine which of the matrices in Exercises 1–6 are symmetric.
3.
Unless otherwise specified, assume that all matrices in these exercises are nxn. Determine which of the matrices in Exercises 1–10 are invertible. Use as few calculations as possible. Justify your answers
In Exercises 11–16, compute the adjugate of the given matrix, and then use Theorem 8 to give the inverse of the matrix.
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