Q3. - Algebra 2

Question

What is meant by corresponding elements.

Step-by-Step Solution

Answer

Corresponding elements are the elements that appear in identical places in two similar situations.

Step 1 – Description of step.

Matrix is an ordered rectangular arrangement of numbers in horizontal rows and vertical columns. Each value in the matrix is called element.

Step 2 – Description of step.

Corresponding elements are the elements that appear in identical places in two similar situations.

Step 3 – Description of step.

Consider an example, $\left[\begin{array}{c}a\\ b\\ \end{array}\right]=\left[\begin{array}{c}c\\ d\\ \end{array}\right]$. Here the two matrices are equal. Element $a$ is in the first row and first column in the left-hand side matrix and element c is in the first row and first column in the right-hand side matrix. Therefore, according to the definition of corresponding matrix, a and $c$ are corresponding elements.