Calculate or Give an example of the followings (or explain why NOT possible) (a)

Let A be a

Question

Calculate or Give an example of the followings (or explain why NOT possible):

(a) Let A be a

2×2 matrix with 0 and 1 as eigenvalues and let B = A^2 +A. Determine the nty of B. (Hint: B = (A + I)A = A(A + I).

(b) Use a concept from linear algebra to calculate the area of the triangle whose vertices are (−2,−2), (0,3), and (4,−1).

(c) Find a 2×2 matrix A with determinant 2 such that A^TA = I2.

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