The inner product of two vectors is the real number T Now let’s investigate the matrix T For generate vectors rand and rand In each case, compute rank ­ T2 2, and T2 What do you conclude from...

The inner product of two

vectors

is the real number




^T

Now let’s investigate the

matrix

^T

For

generate vectors
rand

and

rand

In each case, compute rank ­

^T

<sub>2

2</sub>, and

^T

₂

What do you conclude from the experiment? Prove each assertion. It will help to recall that rank

nullity