Project ForgeEngineering Mathematics
Linear Algebra
GATE 2014
Easy
The matrix form of the linear system dx/dt = 3x − 5y and dy/dt = 4x + 8y is
- d/dt{x,y} = [[3,−5],[4,8]]{x,y}
- Bd/dt{x,y} = [[3,8],[4,−5]]{x,y}
- Cd/dt{x,y} = [[4,−5],[3,8]]{x,y}
- Dd/dt{x,y} = [[4,8],[3,−5]]{x,y}
Explanation
Reading the coefficients of x and y straight off each equation into rows: the first row (dx/dt) has coefficients (3,−5), the second row (dy/dt) has coefficients (4,8), giving the coefficient matrix [[3,−5],[4,8]].
Source: GATE ME 2014 (Session 1 / Set-1) (2014)
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