Which one of the following statements is NOT true for a square matrix A?
Consider the matrix
\(J_{6}=\begin{vmatrix}0&0&0&0&0&1 \\ 0&0 &0 &0 &1 &0 \\ 0&0 &0 &1 &0 &0 \\ 0&0 &0 &0 &0 &0 \\ 0&1 &0 &0 &0 &0 \\ 1&0 &0 &0 & 0&0 \end{vmatrix}\)which is obtained by reversing the order of the columns of the identity matrix I6.
Let P= I6+ α ]6, where a is a non-negative real number. The value of α for which det(P) = 0 is _________ .
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If ey = x1⁄x then y has a
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Consider points P and Q in the x-y plane, with P = (1, 0) and Q = (0, 1). The line integral 2\(\int_{P}^{Q}\)(x dx + y dy) along these micircle with the line segment PQ as its diameter is
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The state equation of a second-order linear system is given by
A loaded pin jointed truss is shown in the given figure. The force in the member AC is _________ kN.
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AB is a chain line crossing a lake.A and B are on opposite sides of the lake. A line AC, 800 m long is ranged to the right of AB clear of the lake. Similarly another line AD, 1000 mlong is ranged to the left of AB such that point C, Band Dare collinear. The length BC and BD are 300 m and 700 m respectively. If the chainage of A is 1000 m, then the chainage of B will be ______
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A pre-stressed cantilever 8 m long carries on all inclusive load of 20 KN/m.The beam is 750 mm deep. The pre-stressing force on tendon is 2000 KN. The profile of tendon at support for balancing dead load and live load will be
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In using trial and error method to solve the three point problem, the strength of fix is good when
In an artesian aquifer, the drowdown is 1.7 metres at a radial distance of 20 metres from a pumped well after 3 hours of pumping. On the basis of non-equilibrium equation, the pumping time required for the same drow down of 1.7 metres at a radial distance of 80 metres from this well will be ______hrs.
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