7. For this problem we'll use the matrix (with unknown real number entries) P (a) We already calculated that det(P) = (b) If k represents an unknown constant, calculate kP and det(kP). α [a b] . (c) How is det(kP) related to det(P)? (d) How would the results of this change if P had dimensions 3 x 3? What would det (kP) be then?

7. For this problem we'll use the matrix (with unknown real number entries) P (a) We already calculated that det(P) = (b) If k represents an unknown constant, calculate kP and det(kP). α [a b] . (c) How is det(kP) related to det(P)? (d) How would the results of this change if P had dimensions 3 x 3? What would det (kP) be then?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.8: Solving Systems With Cramer's Rule

Problem 3SE: Explain what it means in terms of an inverse for a matrix to have a 0 determinant.

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