Q5. Describe how to find the minor o... [FREE SOLUTION]

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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.

$\begin{array}{l} | \begin{matrix} 3 & 8 \\ 0 & 鈭� 2 \end{matrix} | = 3 脳 (鈭� 2) 鈭� 8 (0) \\ = 鈭� 6 \end{array}$

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91影视

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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91影视

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

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

Pure Maths

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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