Mathematics 10 — Exercise 3.2 · Q3 B

Full question

Identify the type or types of the following matrix.

Step-by-step solution

1. Count 2 rows and 2 columns.

   $$\left[\begin{array}{cc}5& 0\\ 0& 5\end{array}\right]$$

2. Rows and columns have equal counts, so the matrix is square.

3. All off-diagonal entries are zero, so the matrix is diagonal.

   $$(5,5)$$

4. The diagonal entries are equal and nonzero, so it is scalar.

Answer

square, diagonal, scalar matrix.