In Exercises 1–12, use the Gauss–Jordan method to compute the inverse, if it exists, of the matrix.
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Chapter 2 Solutions
Finite Mathematics & Its Applications (12th Edition)
- In 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 11 and 12, use an inverse matrix to find [x] for the given x and B B 11. B = = 2 {[3³] [3]} x = [] , X -5 6 2 ||arrow_forwardFind ∣A−1∣ for the matrixarrow_forward
- 9. Find the inverse of the matrix 0 0 k₁ 0 0 k₁ 0 0 k₁ 0 k₂ 0 0 0 0arrow_forward3. Find x such that the matrix A is equal to its own inverse. A = Iarrow_forwardIn Exercises 9 and 10, find the inverse of the matrix, if it exists. 9. boto 0 -1 0 10 0 0 0 0 0 0 00 0 00 0 0 0 200 0 30 0 00 4 0 000 5arrow_forward
- The matrix is not invertible for what value of x [2 1 1 1 31arrow_forwardCan you please solve this question?arrow_forwardConsider the matrices 27 [2 1 A 2 2 -2 3 1 and x = X1 X2 x 3 a. Show that the equation Ax = x can be rewritten as (A - I)x= 0 and use this result to solve Ax = x for x. b. Solve Ax = 4x.arrow_forward
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