7. Consider an n x n matrix A that is not a null matrix. Suppose that A is idempotent, and define matrix B by B = I −k²A, where k € R is a parameter. Which of the options below is the set of ALL values k such that B is idempotent? a) R b) {0} {0,1} d) {-1,0} e) {-1,0, 1} f) {-3,0,3} g) The set of all positive whole numbers. h) None of the above.

7. Consider an n x n matrix A that is not a null matrix. Suppose that A is idempotent, and define matrix B by B = I −k²A, where k € R is a parameter. Which of the options below is the set of ALL values k such that B is idempotent? a) R b) {0} {0,1} d) {-1,0} e) {-1,0, 1} f) {-3,0,3} g) The set of all positive whole numbers. h) None of the above.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

7. Consider an n x n matrix A that is not a null matrix. Suppose that A is idempotent,
and define matrix B by B = I −k²A, where ke R is a parameter. Which of the options
below is the set of ALL values k such that B is idempotent?
a) R
b) {0}
{0, 1}
d) {-1,0}
e) {-1,0, 1}
f) {-3,0,3}
g) The set of all positive whole numbers.
h) None of the above.

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