what is span row and span column
Answers
Answer:
Step 1. Obtain the square matrix, say A
Step 2. Write A = In A
Step 3. Perform the sequence of elementary row operations on A on the LHS and the pre-factor In on the RHS till we obtain the result In = BA
Step 4. Write A-1 = B
Here is an example to find the inverse of the given matrix, using the elementary row operations
Find the inverse of the matrix.
Solution:
Let
Now, A = IA
∴
Column Operation:
To perform an elementary column operation on A, an r x c matrix, take the following steps.
To find E, the elementary column operator, apply the operation to an c x c identity matrix.
To carry out the elementary column operation, postmultiply A by E.
Let's work through an elementary column operation to illustrate the process. For example, suppose we want to interchange the first and second columns of A, a 3 x 2 matrix. To create the elementary column operator E, we interchange the first and second columns of the identity matrix I2 .
1 0
0 1 ⇒
0 1
1 0
I2 E
Then, to interchange the first and second columns of A, we postmultiply A by E, as shown below.
C1 <--> C2 =
0 1
2 3
4 5
0 1
1 0 =
0*0 + 1*1 0*1 + 1*0
2*0 + 3*1 2*1 + 3*0
4*0 + 5*1 4*1 + 5*0 =
1 0
3 2
5 4
A E
Explanation:
The rowspan and colspan are <td> tag attributes. These are used to specify the number of rows or columns a cell should span. The rowspan attribute is for rows as well as the colspan attribute is for columns. These attributes have numeric values, for example, colspan=3 will span three columns.