Calculate the determinant of the matrix A = [[1, 2], [−1, 0]]

Step 1: Identify the given matrix A. The matrix A is given as: A = 1 & 2 −1 & 0 Step 2: Calculate the determinant of A, denoted as |A|. For a 2 × 2 matrix a & b c & d , the determinant is ad − bc. Here, a=1, b=2, c=−1, d=0. |A| = (1)(0) − (2)(−1); |A| = 0 − (−2); |A| = 2 Step 3

Calculate the determinant of the matrix A = [[1, 2], [−1, 0]]

Step 1: Identify the given matrix A. The matrix A is given as: A = 1 & 2 −1 & 0 Step 2: Calculate the determinant of A, denoted as |A|. For a 2 × 2 matrix a & b c & d , the determinant is ad − bc. Here, a=1, b=2, c=−1, d=0. |A| = (1)(0) − (2)(−1); |A| = 0 − (−2); |A| = 2 Step 3

Solved: Calculate the determinant of the matrix A = [[1…

Identify the given matrix $A$ .
The matrix $A$ is given as:
$A = \begin{pmatrix} 1 & 2 \\ -1 & 0 \end{pmatrix}$
Calculate the determinant of $A$ , denoted as $|A|$ .
For a $2 \times 2$ matrix $\begin{pmatrix} a & b \\ c & d \end{pmatrix}$ , the determinant is $ad - bc$ .
Here, $a=1$ , $b=2$ , $c=-1$ , $d=0$ .
$|A| = (1)(0) - (2)(-1)$ $|A| = 0 - (-2)$ $|A| = 2$
Step 3

Calculate the determinant of the matrix A = [[1, 2], [-1, 0]]

Step-by-step solution

Identify the given matrix $A$ .

Calculate the determinant of $A$ , denoted as $|A|$ .

Step 3

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