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
Right, let's go. Step 1: Calculate A^2. A^2 = 1 & 1 & -1 \\ 1 & 2 & 1 \\ -1 & 1 & 2 1 & 1 & -1 \\ 1 & 2 & 1 \\ -1 & 1 & 2 A^2 = (1)(1)+(1)(1)+(-1)(-1) & (1)(1)+(1)(2)+(-1)(1) & (1)(-1)+(1)(1)+(-1)(2) \\ (1)(1)+(2)(1)+(1)(-1) & (1)(1)+(2)(2)+(1)(1) & (1)(-1)+(2)(1)+(1)(2) \\ (-1)(1)+(1)(1)+(2)(-1) & (-1)(1)+(1)(2)+(2)(1) & (-1)(-1)+(1)(1)+(2)(2) A^2 = 1+1+1 & 1+2-1 & -1+1-2 \\ 1+2-1 & 1+4+1 & -1+2+2 \\ -1+1-2 & -1+2+2 & 1+1+4 A^2 = 3 & 2 & -2 \\ 2 & 6 & 3 \\ -2 & 3 & 6 Step 2: Calculate 6B. 6B = 6 1 & -1 & 2 \\ -1 & 1 & 1 \\ 0 & -1 & 3 = 6 × 1 & 6 × (-1) & 6 × 2 \\ 6 × (-1) & 6 × 1 & 6 × 1 \\ 6 × 0 & 6 × (-1) & 6 × 3 6B = 6 & -6 & 12 \\ -6 & 6 & 6 \\ 0 & -6 & 18 Step 3: Calculate C = A^2 - 6B. C = 3 & 2 & -2 \\ 2 & 6 & 3 \\ -2 & 3 & 6 - 6 & -6 & 12 \\ -6 & 6 & 6 \\ 0 & -6 & 18 C = 3-6 & 2-(-6) & -2-12 \\ 2-(-6) & 6-6 & 3-6 \\ -2-0 & 3-(-6) & 6-18 C = -3 & 2+6 & -14 \\ 2+6 & 0 & -3 \\ -2 & 3+6 & -12 C = -3 & 8 & -14 \\ 8 & 0 & -3 \\ -2 & 9 & -12 Send me the next one 📸