Scalar+Multiplication+of+Matrices

__Scalar Multiplication of a Matrices-__ In matrix algebra, a real number is often called a scalar. To multiply a matrix by a scalar, you multiply each entry in the matrix by the scalar.

EX: 3 [ -2 0] [ 4 -7]

**__Step 1:__** Take 3 x -2 = -6 Take 3 x 0 = 0 Take 3 x 4 = 12


 * This problem contains Scalar Multiplication and addition.

Example: -2[1 -2] [-4 5] [0 3] + [ 6 -8] [-4 5] [-2 6]

Step 1: take -2 x 1= -2 Step 2: -2 x -2= 4 Step 3; -2 x 0= 0 Step 4: -2 x 3= -6 Step 5: -2 x -4= -8 Step 6: -2 x 5= -10 Step 7: [-2 4] [ 0 -6] [8 -10] Step 8: __ADD__ [-2 4] [-4 5] [0 -6] + [6 -8] [8 -10] [-2 6] Step 9: -2+-4=-6

Step 10: 4+5=9 Step 11: 0+6=6 Step 12: -6+-8=-14 Step 13: 8+-2=6 Step 14: -10+6=-4 Step 15: Put into a Matrix! [-6 9] [6 -14] [6 -4]

Ex: 2[3 2] + 1[3 1] [4 -1] [5 2] [7 3] 8 3] step 1: take 2x2= 6 step 2: 2x2= 4 step 3: 2x4= 8 step 4: 2x-1= -2 step 5: 2x7= 14 step 6: 2x3= 6 THEN... on the other side.. step 1: 1x3= 3 step 2: 1x-1=-1 step 3: 1x5= 5 step 4: 1x2= 2 step 5: 1x8= 8 step 6: 1x3= 3 Write the two out [6 4] + [3 -1] [8 -2] [5 2] [14 6] [8 3] __Then add together!__
 * If you are having trouble adding, see the adding matrices page.
 * this problem contains adding 2 scalar problems together.