Matrix Definition Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
What are the dimensions of [40−1732]\begin{bmatrix} 4 & 0 \\ -1 & 7 \\ 3 & 2 \end{bmatrix}?

Solution

  1. 1
    3 rows, 2 columns.
  2. 2
    Dimensions: 3×23 \times 2.

Answer

3×23 \times 2
Always count rows first (going down) then columns (going across). This matrix has 3 rows and 2 columns, making it a 3×23 \times 2 matrix.

About Matrix Definition

A matrix is a rectangular array of numbers arranged in rows (horizontal) and columns (vertical). An m×nm \times n matrix has mm rows and nn columns. Each number in the matrix is called an entry or element, identified by its row and column position.

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More Matrix Definition Examples

Example 1 easy

Given [formula], what are the dimensions of [formula] and what is [formula]?

Example 2 medium

Write a [formula] column matrix where [formula].

Example 4 medium

If [formula] is a [formula] matrix, how many entries does it have? Can you multiply [formula] by a [

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