Set 2.1 Q2) Use the arrow technique to evaluate the determinant. 1- $\begin{vmatrix} -1 & 1 & 2 \ 3 & 0 & -5 \ 1 & 7 & 2 \end{vmatrix}$ 2- $\begin{vmatrix} -2 & 1 & 4 \ 3 & 5 & -7 \ 1 & 6 & 2 \end{vmatrix}$ Q3) Evaluate the determinant in Q2 part 1, by a cofactor expansion along (a) the first row. (c) the second row. (e) the third row. Q4) Evaluate the determinant. 1- $\begin{bmatrix} 0 & 0 & 0 & 0 \ 1 & 2 & 0 & 0 \ 0 & 4 & 3 & 0 \ 1 & 2 & 3 & 8 \end{bmatrix}$ 2- $A = \begin{bmatrix} -6 & 0 & 0 \ 0 & 3 & 0 \ 0 & 0 & 5 \end{bmatrix}$ 3- $\begin{bmatrix} -3 & 0 & 0 & 0 \ 1 & 2 & 0 & 0 \ 40 & 10 & -1 & 0 \ 100 & 200 & -23 & 3 \end{bmatrix}$ (b) the first column. (d) the second column. (f) the third column.
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First, let's rewrite the given matrix A: A = \begin{bmatrix} 40 & 10 & 100 & 200 \\ \end{bmatrix} Show more…
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Use the given value of the determinant at the right and the properties of this section to evaluate the following determinants. $$\left|\begin{array}{rrr} 2 & -3 & 1 \\ -4 & 1 & 3 \\ 1 & -3 & -2 \end{array}\right|=40$$ $$\left|\begin{array}{rrr} 2 & -4 & 1 \\ -3 & 1 & -3 \\ 1 & 3 & -2 \end{array}\right|$$
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Use the given value of the determinant at the right and the properties of this section to evaluate the following determinants. $$\left|\begin{array}{rrr} 2 & -3 & 1 \\ -4 & 1 & 3 \\ 1 & -3 & -2 \end{array}\right|=40$$ $$\left|\begin{array}{rrr} 2 & 1 & -3 \\ -4 & 3 & 1 \\ 1 & -2 & -3 \end{array}\right|$$
Use the given value of the determinant at the right and the properties of this section to evaluate the following determinants. $$\left|\begin{array}{rrr} 2 & -3 & 1 \\ -4 & 1 & 3 \\ 1 & -3 & -2 \end{array}\right|=40$$ $$\left|\begin{array}{rrr} 2 & -3 & 1 \\ -4 & 1 & 3 \\ 2 & -6 & -4 \end{array}\right|$$
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