Mathematics 10 — Exercise 3.2 · Q1 C

Full question

Identify the type or types of the following matrix.

Step-by-step solution

1. Count 2 rows and 2 columns.

   $$\left[\begin{array}{cc}1& 0\\ 0& 1\end{array}\right]$$

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

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

   $$(1,1)$$

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

5. Every diagonal entry is 1, so it is an identity matrix.

Answer

square, diagonal, scalar, identity matrix.