This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.
ScanSolve AI Answer
To show that a matrix M is invertible, we need to demonstrate that its determinant is non-zero. Step 1: Identify the given matrix. The matrix M is given as: M = 7 & 4 \\ 5 & -3 Step 2: Calculate the determinant of the matrix M. For a 2 × 2 matrix a & b \\ c & d , the determinant is calculated as ad - bc. For matrix M, we have a=7, b=4, c=5, and d=-3. (M) = (7)(-3) - (4)(5) (M) = -21 - 20 (M) = -41 Step 3: Conclude whether the matrix is invertible. Since the determinant of M is -41, which is not equal to zero ((M) ≠ 0), the matrix M is invertible. Since (M) = -41 ≠ 0, the matrix M is invertible. Drop the next question.