Finite Mathematics for Business, Economics, Life Sciences and Social Sciences

14th Edition

ISBN: 9780134677972

Author: Barnett

Publisher: PEARSON

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Chapter 11.3, Problem 25E

(A) Let P and Q be strategies for the 2 × 2 matrix game M . Let k be a constant, and let J be the matrix with all 1 ’ s as entries. Show that the matrix product P k J Q equals the 1 × 1 matrix k .

(B) Generalize part (A) to the situation where M and J are m × n matrix.

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Chapter 11.3, Problem 24E

Chapter 11.3, Problem 26E

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Chapter 11 Solutions

Finite Mathematics for Business, Economics, Life Sciences and Social Sciences

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(A) Let P and Q be strategies for the 2 × 2 matrix game M . Let k be a constant, and let J be the matrix with all 1 ’ s as entries. Show that the matrix product P k J Q equals the 1 × 1 matrix k . (B) Generalize part (A) to the situation where M and J are m × n matrix.

Solution Summary: The author demonstrates that the matrix product P(kJ)Q is equal to the 1times 1 matrix k.

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