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1 42 354 232 (i) Find the determinant of the matrix: B = (ii) What is the determinant of a second matrix, C, that is formed by interchanging row 1 and row 2 of B? What is the determinant of a further matrix D formed by interchanging column 1 and column 3 of B?

1 42 354 232 (i) Find the determinant of the matrix: B = (ii) What is the determinant of a second matrix, C, that is formed by interchanging row 1 and row 2 of B? What is the determinant of a further matrix D formed by interchanging column 1 and column 3 of B?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. (a) (i) Find the determinant of the matrix: B = 1 42 354 232 (ii) What is the determinant of a second matrix, C, that is formed by interchanging row 1 and row 2 of B? What is the determinant of a further matrix D formed by interchanging column 1 and column 3 of B? (b) The equilibrium conditions for two related markets in goods a and b are given by: 18Pa - P -2Pa + 36Pb 87 = 98 = Use matrix inversion to solve this system of linear equations Dp = q by first finding an expression for D-¹, and then using this to find the equilibrium prices in each market, P* and P, such that the conditions both hold.
Transcribed Image Text:4. (a) (i) Find the determinant of the matrix: B = 1 42 354 232 (ii) What is the determinant of a second matrix, C, that is formed by interchanging row 1 and row 2 of B? What is the determinant of a further matrix D formed by interchanging column 1 and column 3 of B? (b) The equilibrium conditions for two related markets in goods a and b are given by: 18Pa - P -2Pa + 36Pb 87 = 98 = Use matrix inversion to solve this system of linear equations Dp = q by first finding an expression for D-¹, and then using this to find the equilibrium prices in each market, P* and P, such that the conditions both hold.
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