Properties of determinants

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Question:

Without expansion (until you reduce it to 2 x 2 order), by using the properties of Determinants, show that

2475_Properties of Determinants.png

Question:

Show that the vectors (1 - i, i ) and (2, -1 + i ) in are Linearly Dependent over Field  but Linearly Independent over R, where i = √-1 .

Question:

Let A be an  n x n matrix. Then Show that the set,  939_Properties of Determinants1.png is a Subspace of R2.

Reference no: EM13188607

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