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

April 2, 2026Mathematics

ScanSolve AI Answer

April 2, 2026

Answer

\begin{pmatrix} 1 & 2 \ -1 & 0 \end{pmatrix}$$

Step 1: Identify the given matrix $A$ . The matrix $A$ is given as: $A = \begin{pmatrix} 1 & 2 \\ -1 & 0 \end{pmatrix}$

Step 2: 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

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

QGive a much shorter, concise version — just the essential steps and the final answer, no padding. Pr…QWhat is the derivative of x3 + 2x with respect to x? Give a full worked solution with steps.Q6896 x 76.4 Q39044 x 89.6 QSolve using substitution method

See all Mathematics questions →

Still have questions?

Quick Answer

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|.

Asked on April 2, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 2, 2026

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