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enyata [817]
3 years ago
8

Can someone help? i really don’t understand. question is in the picture

Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0

Answer: (-1,2)

Step-by-step explanation:

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Suppose A is n x n matrix and the equation Ax = 0 has only the trivial solution. Explain why A has n pivot columns and A is row
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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.

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Step-by-step explanation:

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Which of the following properties justifies the statement 3 • 5 + 3 • 6 = 3 • 5 + 6 • 3?
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