Question: Linear Algebra: Problem 1. (a) Set A = [ cos 1 2 sin 1 + 2 sin 4 cos ] . Find det(A), prove that

Linear Algebra:

Problem 1.

(a) Set A = [ cos 1 2 sin 1 + 2 sin 4 cos ] . Find det(A), prove that for any value of , A is invertible, and then find A1.

(b) Find all the values of such that C = [ 2 3 5 ] is singular.

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