Two and more matrices can be added or subtracted if and only if they are having same order.
Note :
If the order those matrices are not same then, we cannot add those matrices.
Question 1 :
Add the following matrices.
Question 2 :
Add the following matrices.
Question 3 :
Subtract the following matrices.
Question 4 :
Suppose the sum A+B+C exists. We also know that has 2 rows and C has 3 columns. What can we say about matrix B ?
Question 5 :
Given that
Where O is the 2x2 zero matrix, find the value of x.
Question 6 :
Given that
find the values of x, y, z, a and b.
Question 1:
Solution :
Question 2 :
Find the sum of the following matrices
Solution :
Question 3 :
Subtract the following matrices.
Solution :
Question 4 :
Suppose the sum A+B+C exists. We also know that has 2 rows and C has 3 columns. What can we say about matrix B ?
Solution :
If A+B+C exists, then the matrices A, B and C should be in same order.
In general,
Order of matrix = m x n
m - Number of rows and n - number of columns
From the given information,
Number of rows of matrix A = 2
Number of columns of matrix C = 3
Both A and C should be in the order 2 x 3, then matrix B will also have the same order.
So, order of the matrix B is 2 x 3.
Question 5 :
Given that
Where O is the 2x2 zero matrix, find the value of x.
Solution :
a-6 = 0 a = 6 |
b+8 = 0 b = -8 |
c+6 = 0 c = -6 |
d+5 = 0 d = -5 |
Question 6 :
Given that
find the values of x, y, z, a and b.
Solution :
By adding the corresponding terms, we get
x = 7+11 x = 18 |
y = -5+9 y = 4 |
z = 10+11 z = 21 |
a = 5+6 a = 11 |
b = 5+2
b = 7
So, the values of x, y, z, a and b are 18, 4, 21, 11 and 7 respectively.
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
Mar 03, 24 08:27 PM
Mar 03, 24 10:46 AM
Mar 03, 24 06:28 AM