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11 Cards in this Set
- Front
- Back
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a is an
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invertible matrix
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a is row equivalent
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to the n*n identity matrix
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a has n
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pivot positions
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The equation Ax=0
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has only the trivial solution
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The columns of A
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form a linearly independent set
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The linear transformation x
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to Ax is one-to-one
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the equation ax=b
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has at least one solution for each b in R^n
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the columns of A
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span R^n
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The linear transformation x
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to Ax maps R^n onto R^n
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there is an n*n
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matrix C such that CA or AC = I
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A^T
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is an invertible matrix
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