Question

Construct a specific 2x2 matrix a with no zero entries at all such that aat = i

Answer 1

A 2 x 2 matrix has 2 rows and 2 columns

A specific 2 x 2 matrix a with no zero entries at all is $\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right]$

How to construct the matrix?

From the question, we understand that the matrix is a 2 x 2 matrix.

A 2 x 2 matrix is represented as:

$\left[\begin{array}{cc}a&b\\c&d&\end{array}\right]$

Also from the question we understand that the elements of the matrix are non-zero.

This means that:

$a \ne 0\ , b \ne 0, \ c \ne 0, \ d \ne 0$

An example of such matrix is:

$\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right]$

Note that there are several matrices that fit the given construction requirement

Read more about matrix at:

brainly.com/question/1821869