[ ] [ ] [ ] [ ] EXAMPLE 3 Scalar multiplication Simplify the product: 4 [ ] 3 0 1 2 – 1 – 3 SOLUTION 4 [ ] 3 0 1 2 – 1 – 3 = [ ] 4(3) 4(0) 4(1) 4(2) 4(– 1) 4(– 3) Multiply each element in the matrix by 4. [ ] = 12 0 4 8 – 4 –12 Simplify.
[ ] [ ] [ ] [ ] GUIDED PRACTICE for Example 3 Simplify the product. 3. [ ] 5 2 1 –10 3 – 4 7 SOLUTION = [ ] 5(2) 5(1) 5(–10) 5(3) 5(– 4) 5(7) [ ] 5 2 1 –10 3 – 4 7 Multiply each element in the matrix by 5. [ ] = 10 5 –50 15 – 20 35 Simplify.
[ ] [ ] [ ] [ ] GUIDED PRACTICE for Example 3 Simplify the product. 4. [ ] –2 – 4 1 0 9 – 5 –7 SOLUTION = [ ] –2(–4) –2(1) –2(0) –2(9) –2(– 5) –2(–7 ) [ ] –2 – 4 1 0 9 – 5 –7 Multiply each element in the matrix by –2. [ ] = 8 –2 0 –18 10 14 Simplify.