For the matrix \( F = \begin{pmatrix} 2 & 1 \\ 3 & 4 \end{pmatrix} \), w
Practice Questions
Q1
For the matrix \( F = \begin{pmatrix} 2 & 1 \\ 3 & 4 \end{pmatrix} \), what is the value of the determinant? (2021)
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Questions & Step-by-Step Solutions
For the matrix \( F = \begin{pmatrix} 2 & 1 \\ 3 & 4 \end{pmatrix} \), what is the value of the determinant? (2021)
Step 1: Identify the elements of the matrix F. The matrix is F = [[2, 1], [3, 4]].
Step 2: Write down the formula for the determinant of a 2x2 matrix. The formula is Det(F) = (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 = 1, c = 3, and d = 4.
Step 4: Substitute the values into the determinant formula: Det(F) = (2*4) - (1*3).
Step 5: Calculate the first part: 2*4 = 8.
Step 6: Calculate the second part: 1*3 = 3.
Step 7: Subtract the second part from the first part: 8 - 3 = 5.
Step 8: Conclude that the value of the determinant is 5.
