a) Test the following system of equations for consistency: $$2x - 3y…
Previous year question for Engineering Mathematics-II.
Question
a) Test the following system of equations for consistency:
$$2x - 3y + 7z = 5$$
$$3x + y - 3z = 13$$
$$2x + 19y - 47z = 32$$
b) Reduce the matrix A to normal form and also find its rank, where $A = \begin{bmatrix} 24 & 19 & 36 & 72 \\ 49 & 40 & 73 & 147 \\ 73 & 59 & 98 & 219 \\ 47 & 36 & 71 & 141 \end{bmatrix}$.
c) Find the eigen vectors for matrix A corresponding to eigen values $\lambda = 1, 2$; where $A = \begin{bmatrix} 4 & 6 & 6 \\ 1 & 3 & 2 \\ -1 & -5 & -2 \end{bmatrix}$.
- Year: 2018
- Subject: Engineering Mathematics-II
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