Answer:
Remember, a homogeneous system always is consistent. Then we can reason with the rank of the matrix.
If the system Ax=0 has only the trivial solution that's mean that the echelon form of A hasn't free variables, therefore each column of the matrix has a pivot.
Since each column has a pivot then we can form the reduced echelon form of the A, and leave each pivot as 1 and the others components of the column will be zero. This means that the reduced echelon form of A is the identity matrix and so on A is row equivalent to identity matrix.
Answer:
b = 2
Step-by-step explanation:
In order to find the value of b, we have to isolate b on one side of equation first
So,
Multiplying 2 with b-1
Adding 2 on both sides
Dividing by 5 on both sides
So the value of b is 2 ..
Answer:
a+2b
Step-by-step explanation:
2(a+2b) -a-2b
2a+4b-a-2b
a+2b
Answer:
21+3t
If really want equation answer it would be -7 but it simplifying. :)
Step-by-step explanation:
6(4+t)-3(t+1)
Simplify parenthesis first.
24+6t-3t-3
Simplify like terms
24-3+6t-3t
21+3t
