Chapter 4.1, Problem 1BCYP

To determine

Tofind:the value of the ${\text{b}}_{32}$ using given matrix.

Answer to Problem 1BCYP

The value of ${\text{b}}_{\text{32}}\text{=-1}\text{.}$

Explanation of Solution

Given:

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

Concept used:

Positioning of the matrix $3\times 2$ :

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

Calculation:

  $\text{B=}\left[\begin{array}{c}\text{10}\\ \text{-2}\\ \text{6}\end{array}\begin{array}{c}\text{-8}\\ \text{19}\\ \text{-1}\end{array}\right]$ ….. $\left(\text{i}\right)$

  $\text{B=}\left[\begin{array}{c}{\text{b}}_{\text{11}}\\ {\text{b}}_{\text{21}}\\ {\text{b}}_{\text{31}}\end{array}\begin{array}{c}{\text{b}}_{\text{12}}\\ {}_{\text{22}}\\ {\text{b}}_{\text{32}}\end{array}\right]$ ….. $\left(\text{ii}\right)$

  ${\text{b}}_{\text{11}}$ = position number one first row and first column which is $\text{10}$ . So the two digit number below the a shows the position of the row and the column specifically first digit from the left shows the rows and second digit shows column.

Comparing $\left(\text{i}\right)$ and $\left(\text{ii}\right)$ :

For ${\text{b}}_{\text{32}}\text{=-1}\text{.}$

Hence, the value of ${\text{b}}_{\text{32}}\text{=-1}\text{.}$