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?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 34E

See similar textbooks

Similar questions

Explain what it means in terms of an inverse for a matrix to have a 0 determinant.
Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six triple products. Show that the determinant of a 44 matrix involves 24 quadruple products.
Find the determinant of the matrix. [4032013501511103]
Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be used to create a leading 1 at the top of the first column. Which do you prefer and why?
Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]