(a)
Whether the matrix
Approach:
A matrix is in row echelon form if it satisfies the following conditions:
1. The first non zero number in each row is 1. Non zero number is called leading entry.
2. The leading entry in each row is to right of the leading entry in the row immediately above it.
3. All rows consisting entirely of zeroes are at the bottom of the matrix.
Calculation:
Consider the augmented matrix
Here, the leading entry is 1, first non zero number in row is 1 and the leading entry in each row is to the right in the row immediately above it
(b)
Whether the matrix
(c)
To write:
The system of equations for the matrix