For Exercises 19-34, determine the inverse of the given matrix if possible. Otherwise, state the matrix is singular. (See Example 3-6)
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- In Exercises 11-14, find the inverse of the matrix if it exists. [110365010]arrow_forwardIn a previous section, we showed that matrix multiplication is not commutative, that is, ABBA in most cases. Can you explain why matrix multiplication is commutative for matrix inverses, that is, A1A=AA1 ?arrow_forwardUse elementary matrices to find the inverse of A=1a0010001100b1000110001000c, c0.arrow_forward
- Does every 22 matrix have an inverse? Explain why or why not. Explain what condition is necessary for an inverse to exist.arrow_forwardIn Exercises 20-23, solve the given matrix equation for X. Simplify your answers as much as possible. (In the words of Albert Einstein, Everything should be made as simple as possible, but not simpler.) Assume that all matrices are invertible. XA2=A1arrow_forwardIn Exercises 31-38, find the inverse of the given elementary matrix. [100012001]arrow_forward
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