standard_description: Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors.
problem_activity: Task
Jessica evaluates $\sqrt{2}$ on her calculator which shows a value of
$$
1.4142136.
$$
She then writes
$$
\sqrt{2} = 1.4142136.
$$
Is Jessica correct?  Explain.
Explain, in terms of the structure of the expression $(1.4142136)^2$, why
it can not be equal to $2$.
Use the reasoning of part (b) to explain why $\sqrt{2}$ can not be equal
to any terminating decimal.


aligns: no