Find the inverse of [a 2 4 2a], assuming a notequalto plusminus 2. Construct a 4 times 4 matrix A such that nullity (A) = 3. Suppose A is a 3 times 3 matrix. Determine whether A is (a) Ax = [2 1 -1] has no solution. (b) The solution space to Ax = 0 has basis {(1, -1, 0)} (c) rank(A) = 3 (d) det(A) = -4
Show transcribed image textFind the inverse of [a 2 4 2a], assuming a notequalto plusminus 2. Construct a 4 times 4 matrix A such that nullity (A) = 3. Suppose A is a 3 times 3 matrix. Determine whether A is (a) Ax = [2 1 -1] has no solution. (b) The solution space to Ax = 0 has basis {(1, -1, 0)} (c) rank(A) = 3 (d) det(A) = -4