What is the determinant of a 2x2 matrix A = [[a, b], [c, d]]? (2021)
Practice Questions
Q1
What is the determinant of a 2x2 matrix A = [[a, b], [c, d]]? (2021)
ad - bc
ab + cd
ac + bd
ad + bc
Questions & Step-by-Step Solutions
What is the determinant of a 2x2 matrix A = [[a, b], [c, d]]? (2021)
Step 1: Identify the elements of the 2x2 matrix A. The matrix A is given as [[a, b], [c, d]]. This means: a is the top left element, b is the top right element, c is the bottom left element, and d is the bottom right element.
Step 2: To find the determinant, use the formula: determinant = (a * d) - (b * c). This means you multiply the top left element (a) by the bottom right element (d), and then subtract the product of the top right element (b) and the bottom left element (c).
Step 3: Write down the result from Step 2. The final answer for the determinant of the matrix A is ad - bc.
