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Basics Exercises

Basics Exercises

Example 1

Express these equations using matrices.

3x + y = 0

-x – 5y = 4

Hint

A 2 × 2 matrix will be on the left side, and a 2 × 1 will be on the right.

Example 2

Express these equations using matrices.

3x – 4y = -7

x + y = 9

Hint

A 2 × 2 matrix will be on the left side, and a 2 × 1 will be on the right.

Example 3

Express these equations using matrices.

2x + 2y = 11

6x – y = 3

Hint

A 2 × 2 matrix will be on the left side, and a 2 × 1 will be on the right.

Example 4

For the matrix below, identify: a) the rows, b) the columns, and c) each entry.

Hint

Use this shorthand: e = entry, r = row, and c = column. Remember, each entry is notated as e_rc.

Example 5

For the matrix below, identify: a) the rows, b) the columns, and c) each entry.

Hint

Use this shorthand: e = entry, r = row, and c = column. You've got this.

Example 6

For the matrix below, identify: a) the rows, b) the columns, and c) each entry.

Hint

Use this shorthand: e = entry, r = row, and c = column. There's only one column this time.

Example 7

For the matrix below, identify: a) the rows, b) the columns, and c) each entry.

Hint

You know the drill: e = entry, r = row, and c = column.

Example 8

For the matrix below, identify: a) the rows, b) the columns, and c) each entry.