Chapter 7, Problem 1QC

To determine

To Find :

Dimensions of given matrix.

Answer to Problem 1QC

  $3\times 2$

Explanation of Solution

Given Information:

Given matrix is :

  $B=\left[\begin{array}{l}10\text{ -8}\\ \text{-2 19}\\ \text{6 -1}\end{array}\right]$

Concept Used :

The dimensions of a matrix are the number of rows by the number of columns. If a matrix has a rows and b columns, it is a $a\times b$ matrix.

Calculation:

  $\begin{array}{l}Given\\ B=\left[\begin{array}{l}10\text{ -8}\\ \text{-2 19}\\ \text{6 -1}\end{array}\right]\\ \text{Here, the number of rows is 3 and the number of }\\ \text{columns is 2}\text{.}\\ \text{So, the dimensions of the matrix B is }\\ (number\text{ of rows)}\times \text{(number of columns)}\\ \text{= 3}\times \text{2}\end{array}$