Q28E In an economics text,10we find t... [FREE SOLUTION]

91影视

Linear Algebra With Applications

Otto Bretscher

$Math Studyset 91影视 Explanations$ Math

5th Edition 路 442 pages

ISBN: 9780321796974

Chapter 6: Q28E (page 307)

In an economics text, $^{10}$ we find the following system:
$s Y + a r = I 掳 + G m Y - h r = M_{s} - M$
Solve for Y and r.

Short Answer

Expert verified

Therefore,

$[\begin{matrix} Y \\ r \end{matrix}] = [\begin{matrix} \frac{(I 掳 + G) h + (M_{s} + M_{0}) a}{s h - a m} \\ \frac{(M_{s} + M_{0}) s - (I 掳 + G) m}{s h - a m} \end{matrix}]$

Step by step solution

Definition.

In matrices, Cramer's rule expresses the solution in terms of the determinants of the coefficient matrix (i.e., for a square matrix) and of matrices obtained from it by replacing one column by the column vector of right-hand-sides of the equations.

Step 2: To solve and

First, we note

$伪 : = I 掳 + G, 尾 : = M_{s} + M_{0}$
Now, using Cramer鈥檚 rule, we solve:

$\det A = |\begin{matrix} s & a \\ m & - h \end{matrix}| \det A = sh - am Y = \frac{|\begin{matrix} 伪 & a \\ 尾 & - h \end{matrix}|}{sh - am} Y = \frac{- 伪丑 + 尾补}{sh - am} r = \frac{|\begin{matrix} s & 伪 \\ m & 尾 \end{matrix}|}{sh - am} r = \frac{尾蝉 - 伪尘}{sh - am} [\begin{matrix} Y \\ r \end{matrix}] = [\begin{matrix} \frac{- 伪丑 + 尾补}{ah - am} \\ \frac{尾蝉 - 伪尘}{ah - am} \end{matrix}] [\begin{matrix} Y \\ r \end{matrix}] = [\begin{matrix} \frac{(I 掳 + G) h + (M_{s} + M_{0}) a}{sh - am} \\ \frac{(M_{s} + M_{0}) s (I 掳 + G) m}{sh - am} \end{matrix}]$

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91影视

In an economics text, $^{10}$ we find the following system:
$s Y + a r = I 掳 + G m Y - h r = M_{s} - M$
Solve for Y and r.

Short Answer

Step by step solution

Definition.

Step 2: To solve and

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91影视

In an economics text,10we find the following system: sY+ar=I掳+GmY-hr=Ms-MSolve for Y and r.

Short Answer

Step by step solution

Definition.

Step 2: To solve and

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Statistics

Mechanics Maths

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In an economics text, $^{10}$ we find the following system:
$s Y + a r = I 掳 + G m Y - h r = M_{s} - M$
Solve for Y and r.