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If px4 + qx3 + rx2 + sx + t = then what is the value of p
If A and B are symmetric matrices of the same order and X = AB + BA and Y = AB – BA, then (XY)T is equal to
X = AB + BA ⇒ XT = X and Y = AB – BA ⇒ YT = – Y
Now, (XY)T = YT × XT = – YX.
If A is a symmetric matrix and then A" is
If , then A is
is equal to
The distance of a point B with position vector i + 2j + 3k from the line passing through the point A with position vector 4i + 2j + 2k and parallel to the vector 2i + 3j + 6k is
AB = – 3i + k.
Since AB(2i + 3j + 6k) = – 6 + 6 = 0, so AB is perpendicular to the given line. Thus, the required distance is equal to
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