Question: Exercise 4. Let T : Mat(2 x 2, R) - R, ( 2 2) ~ a + Hatd+ bt c Show that T is a

Exercise 4. Let T : Mat(2 x 2, R) - R, ( 2 2) ~ a + Hatd+ bt c Show that T is a linear map, and calculate a basis for the kernel of T. Exercise 5. For which values of a, b is ((1, X2, X3), (y1, y2, y3)) := 191+292+ ax2y3 + bx3y2 + 343 an inner product on R3

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