For the matrix [T] in Problem 1 and the two vectors a a and b b in Problem 3, answer the following questions. a. Calculate

For the matrix [T] in Problem 1 and the two vectors $a$ and $b$ in Problem 3, answer the following questions.

a. Calculate the product of the matrix-vector multiplication $\left[T\right]\cdot T$.

b. Calculate $b\cdot \left[T\right]\cdot a$.

Data From Problem 1:

Consider the following $3\times 3$ matrix $\left[T\right]$ :

Data From Problem 3:

Consider the following two three-dimensional vectors \(\mathbf{a}\) and \(\mathbf{b}\) :

[272] [T]= 3 4 5. 6 3 7