Calculate the determinant of the matrix \( B = \begin{pmatrix} 2 & 3 \\ 5 &a
Practice Questions
Q1
Calculate the determinant of the matrix \( B = \begin{pmatrix} 2 & 3 \\ 5 & 7 \end{pmatrix} \).
-1
1
7
10
Questions & Step-by-Step Solutions
Calculate the determinant of the matrix \( B = \begin{pmatrix} 2 & 3 \\ 5 & 7 \end{pmatrix} \).
Step 1: Identify the elements of the matrix B. The matrix B is given as B = [[2, 3], [5, 7]].
Step 2: Write down the formula for the determinant of a 2x2 matrix. The formula is: det(B) = (a * d) - (b * c), where a, b, c, and d are the elements of the matrix.
Step 3: Assign the values from the matrix to the variables in the formula. Here, a = 2, b = 3, c = 5, and d = 7.
Step 4: Substitute the values into the formula. This gives us: det(B) = (2 * 7) - (3 * 5).
