ADDING AND SUBTRACTING MATRICES

If we add or subtract two matrices, we should check whether the matrices are having same order of dimensions.

  • If the dimensions are same, we have to combine corresponding terms.
  • If the dimensions are not same, we cannot add or subtract the matrices.

Use matrices A, B, C and D to find the following.

A=57-163-9
C=04-257-1
B=835144
D=6290-30

Problem 1 :

A + B

Solution :

Combining corresponding terms, we get

A+B=57-163-9+835144=5+87+3-1+56+13+4-9+4A+B=1310477-5

Problem 2 :

D - B

Solution :

D-B=6290-30-835144=6-82-39-50-1-3-40-4D-B=-2-14-1-7-4

Problem 3 :

4C

4C=404-257-14C=016-82028-4

Problem 4 :

6B - 2A

Solution :

6B-2A=6835144-257-163-9=48183062424-1014-2126-18=48-1018-1430+26-1224-624+186B-2A=38432-61842

Problem 5 :

3C - 4A + B

Solution :

3C-4A+B=304-257-1-457-163-9+835144=012-61521-3-2028-42412-36+835144=0-20+812-28+3-6+4+515-24+121-12+4-3+36+43C-4A+B=-12-133-81337

Problem 6 :

C + 1/3D

Solution:

C+13D=04-257-1+136290-30=04-257-1+22330-10C+13D=2143156-1

Problem 7 :

Use the following information. The Cookie Cutter Bakery records each type of cookie sold at three of their branch stores. Two days of sales are shown in the spreadsheets below.

add-sub-matrices

a. Write a matrix for each day's sales.

b. Find the sum of the two day's sales expressed as a matrix.

c. Find the difference in cookie sales from Friday to Saturday expressed as a matrix.

Solution:

a.

A=1209764758059366072842948

Here rows are representing the sales done in three corresponding stores.

Columns are representing the variety of product they 

B=1128756748465397088984360

b.

A+B=1209764758059366072842948+1128756748465397088984360A+B=2321841201491641247513016018272108

c.

A-B=1209764758059366072842948-1128756748465397088984360A-B=81081-4-6-3-10-16-14-14-12

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