Question

Solve the homogeneous system of equations : 4x + 3y - z = 0, 3x + 4y + z = 0, x - y - 2z = 0, 5x + y - 4z = 0 using matrix (rank)​

Answer 1

Answer:

Step-by-step explanation:

Given as 3x – y + 2z = 0

4x + 3y + 3z = 0

5x + 7y + 4z = 0

The equation can be written as

AX = 0

Then, |A| = 3(12 – 21) + 1(16 – 15) + 2(28 – 15)

|A| = – 27 + 1 + 26

|A| = 0

So, the system has infinite solutions

Suppose z = k

3x – y = – 2k

4x + 3y = – 3k

So, x = (-9k/13), y = (-k/13) and z = k

Answer 2

Answer:

sorry don't know soooooooorrrrrrrrrrryyyyyyyyy