Chapter 4: Q 4.91 (page 449)

For the determinant $[\begin{matrix} 1 & - 1 & 4 \\ 0 & 2 & - 1 \\ - 2 & - 3 & 3 \end{matrix}]$ , find and then evaluate the minor of (a) a₁ (b) b₂ (c) c₃

Short Answer

Expert verified

The minor of a₁=3

The minor of b₂=11

The minor of c₃=2

Step by step solution

Step 1. Given information

The given determinant is

$[\begin{matrix} 1 & - 1 & 4 \\ 0 & 2 & - 1 \\ - 2 & - 3 & 3 \end{matrix}]$

Step 2. Calculation

(a) Eliminate the row and column that contains a1.

and write 2*2 determinant that remains

$minor of a_{1} = |\begin{matrix} 2 & - 1 \\ - 3 & 3 \end{matrix}| by evaluating = (3 \times 2) - (- 1 \times - 3) = 6 - 3 = 3$

(b) Eliminate the row and column that contains b2.

and write 2*2 determinant that remains

$minor of b_{2} = |\begin{matrix} 1 & 4 \\ - 2 & 3 \end{matrix}| by evaluating = (3 \times 1) - (4 \times - 2) = 3 - (- 8) = 3 + 8 = 11$

and write 2*2 determinant that remains

$minor of c_{3} = |\begin{matrix} 1 & - 1 \\ 0 & 2 \end{matrix}| by evaluating = (2 \times 1) - (- 1 \times 0) = 2 - 0 = 2$

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For the determinant $[\begin{matrix} 1 & - 1 & 4 \\ 0 & 2 & - 1 \\ - 2 & - 3 & 3 \end{matrix}]$ , find and then evaluate the minor of (a) a₁ (b) b₂ (c) c₃

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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For the determinant 1-1402-1-2-33, find and then evaluate the minor of (a) a1 (b) b2 (c) c3

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

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For the determinant $[\begin{matrix} 1 & - 1 & 4 \\ 0 & 2 & - 1 \\ - 2 & - 3 & 3 \end{matrix}]$ , find and then evaluate the minor of (a) a₁ (b) b₂ (c) c₃