Chapter 4: Q5. (page 185)

Describe how to find the minor of 6 in $[\begin{matrix} 5 & 11 & 7 \\ - 1 & 3 & 8 \\ 6 & 0 & - 2 \end{matrix}]$ .

Short Answer

Expert verified

The minor of 6 is $|\begin{matrix} 3 & 8 \\ 0 & - 2 \end{matrix}|$ .

Step by step solution

- Minor of an element

The minor of an element is the determinant formed when the row and column containing that element are deleted.

- Find the minor of 6

Apply the definition of the minor of an element. Since 6 is in row 3 column 1 therefore, third row and first column must be deleted and the determinant formed by the other leftover rows and column is the minor of 6.

|\begin{matrix} 3 & 8 \\ 0 & - 2 \end{matrix}| = |\begin{matrix} 3 & 8 \\ 0 & - 2 \end{matrix}|

- Calculate the determinant

The determinant of second order matrix is found by calculating the difference of the product of the two diagonals, that is., $|\begin{matrix} a & b \\ c & d \end{matrix}| = a d - b c$ .

To further simplify multiply the values first and then find the difference.

$\begin{array}{l} | \begin{matrix} 3 & 8 \\ 0 & - 2 \end{matrix} | = 3 \times (- 2) - 8 (0) \\ = - 6 \end{array}$

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Describe how to find the minor of 6 in $[\begin{matrix} 5 & 11 & 7 \\ - 1 & 3 & 8 \\ 6 & 0 & - 2 \end{matrix}]$ .

Short Answer

Step by step solution

- Minor of an element

- Find the minor of 6

- Calculate the determinant

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Describe how to find the minor of 6 in5117-13860-2.

Short Answer

Step by step solution

- Minor of an element

- Find the minor of 6

- Calculate the determinant

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Describe how to find the minor of 6 in $[\begin{matrix} 5 & 11 & 7 \\ - 1 & 3 & 8 \\ 6 & 0 & - 2 \end{matrix}]$ .