Whether the system below is consistent? Justify. x + 2y − 3z = 1 3x − y + 2z = 5 5x + 3y − 4z = 2

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Solve x + 2y − 3z + 2w = 2 2x + 5y − 8z + 6w = 5 3x + 4y − 5z + 2w = 4

For the system x + 2y − z = 0 2x + 5y + 2z = 0 x + 4y + 7z = 0 x + 3y + 3z = 0

Find the solution space as well as dimension.

All natural numbers and 0 are called the ……………….. numbers?

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