Question: Consider the matrix 2 5 ] A: 4 4 1 I: I5 2 (a) Determine for which value of k the determinant of A is

Consider the matrix 2 5 ] A: 4 4 1 I:

Consider the matrix 2 5 ] A: 4 4 1 I: I5 2 (a) Determine for which value of k the determinant of A is zero. (b) When it takes this value, use row operations to find all possible solutions for x to the matrix equation Ax = I}. (c) Use row operations to nd the inverse of A if k = 1. Show the steps and check your answer. When doing row operations, numbers should be left exact [as fractions) throughout

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