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LAHW#09

LAHW#09. Due ∞. 4.2 Determinant: Properties. 1. Let Establish that f is a linear function of x. 4.2 Determinants: Properties. 8. Compute by cofactor expansions and by row operations. 4.2 Determinant: Properties. 22.

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LAHW#09

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  1. LAHW#09 Due ∞

  2. 4.2 Determinant: Properties • 1. • Let Establish that f is a linear function of x.

  3. 4.2 Determinants: Properties • 8. • Compute by cofactor expansions and by row operations.

  4. 4.2 Determinant: Properties • 22. • Consider . Compute the determinant of this matrix using cofactor expansion.

  5. 4.2 Determinant: Properties • 30. • Let A be an n × n matrix, where n is odd. Establish that if A is skew-symmetric (meaning AT = -A), then Det(A)=0.

  6. 4.2 Determinants: Properties • 36. • Explain why, for two n × n matrices, Det(AB)=Det(BA). Also, explain why this does not imply that AB = BA.

  7. 4.2 Determinants: Properties • 45. • Let A and B be n × n matrices such that Det(A)=14 and Det(B)=2. What are the numerical values of Det(AB), Det(BAT), Det(2A), Det(A-1), and Det(B2)?

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