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3. Calculate the Reduced Low Echelon Form of the Following Augmented Matrix. (5 Marks) (1) [} -1&5&3&7 1&-4&-2&8 0&0&1&3 ]

Question

3. Calculate the reduced low echelon form of the following augmented matrix. (5 marks) (1) [} -1&5&3&7 1&-4&-2&8 0&0&1&3 ]

Solution

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Answer

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Explanation

## Step 1: Create the augmented matrix### The given system of equations can be represented by the augmented matrix: ## Step 2: Row operations to achieve row echelon form### Perform row operations to get the matrix into row echelon form.1. : 2. : 3. : 4. : 5. : ## Step 3: Reduced Row Echelon Form### The matrix is now in reduced row echelon form.