Find the dimension of each matrix. Identify any square, column, or row matrices. See the discussion preceding Example 1.

Question

Accepted Answer

Hello, everyone. We are asked to find the dimension of the matrix and categorize the matrix as a row column or square matrix. Here we are given a matrix that appears to have three horizontal lines, each line having four elements in it. Our answer choices are a, the dimension of the matrix is three by four B. The dimension of the matrix is four by three C. The dimension of the matrix is four by one and it's a column matrix D, the dimensions of the matrix is four by four. And it is a square matrix. Recall that when we're naming the dimensions of a matrix, we say that it is the amount of rows by the amount of columns. So rows go horizontally. So I'm gonna count how many horizontal lines I have in this matrix. So I have 123. So we have three rows and then how many elements are in each row or how many hor uh vertical lines I could draw straight down. Well, tell me how many columns, 1234 columns. So we know that our matrix is, the dimensions are three by four. Is it a row matrix? Well, a row matrix only has one row. So no, it is not. Is it a column matrix? A column matrix only has one column. So this isn't it, is it a square matrix? A square matrix has the same amount of roses columns. So it is none of those special categories. So it is answer choice. A the dimensions of the matrix are three by four. Have a nice day.

Find the dimension of each matrix. Identify any square, column, or row matrices. See the discussion preceding Example 1.

Verified Solution

Key Concepts

Matrix Dimensions

Square Matrices

Row and Column Matrices