![Multiply matrix B by matrix C where B = [-2 6] and C = [3; 4].](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1775295507415-ed33568d78423ebe.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
Step 1: Identify the given matrices. The matrices are given as: B = -2 & 6 C = 3 \\ 4 Step 2: Determine the dimensions of the matrices. Matrix B has 1 row and 2 columns, so its dimension is 1 × 2. Matrix C has 2 rows and 1 column, so its dimension is 2 × 1. Step 3: Check if matrix multiplication BC is possible. For matrix multiplication BC to be defined, the number of columns in B must be equal to the number of rows in C. Number of columns in B = 2. Number of rows in C = 2. Since 2 = 2, the multiplication is possible, and the resulting matrix BC will have dimensions 1 × 1. Step 4: Perform the matrix multiplication. To find the product BC, we multiply the elements of the row of B by the corresponding elements of the column of C and sum them. BC = -2 & 6 3 \\ 4 BC = (-2)(3) + (6)(4) BC = -6 + 24 BC = 18 The final answer is 18 .