![Given matrices q = [[-7, 5], [2, -3]] and m = [[-1, 4], [7, 8]], find the resulting matrix of 2q - m.](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1778684773525-1e7d1fdf4b3eebc5.png&w=3840&q=75)
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 Answer
Here's how to find 2q - m: Step 1: Identify the matrices q and m. q = -7 & 5 \\ 2 & -3 m = -1 & 4 \\ 7 & 8 Step 2: Calculate 2q by multiplying each element of matrix q by 2. 2q = 2 -7 & 5 \\ 2 & -3 = 2 × (-7) & 2 × 5 \\ 2 × 2 & 2 × (-3) 2q = -14 & 10 \\ 4 & -6 Step 3: Subtract matrix m from 2q. 2q - m = -14 & 10 \\ 4 & -6 - -1 & 4 \\ 7 & 8 2q - m = -14 - (-1) & 10 - 4 \\ 4 - 7 & -6 - 8 2q - m = -14 + 1 & 6 \\ -3 & -14 2q - m = -13 & 6 \\ -3 & -14 That's 2 down. 3 left today — send the next one.