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CBSE Guess > Papers > Important Questions > Class XII > 2010 > Maths > Mathematics By Mr. Manish Lekhwar
CBSE CLASS XII
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Q. 10.
Let A = . Find X and Y such that, X + Y = A and X is a symmetric matrix and Y is a skew symmetric matrix.
Q.11.
Let A = and I be the identity matrix of order 2.
Show that![](../images/maths_7_clip_image026.gif)
Q. 12.
Let f(x) = x2 + 5x + 6I, find f(A) if ![](../images/maths_7_clip_image028.gif)
Q. 13.
If f(x) = then prove that f(x).f(y) = f(x+y).
Q. 14.
If f (x) = then prove that f(x). f(y) = f(x + y).
Q. 15. If A = prove by mathematical induction that where I is the identity matrix of the order 2 and n is a positive integer.
Q. 16.
If A = , show that A2 is a zero matrix.
If A = , show that A2 is a zero matrix
If A = , show that A2 = ![](../images/maths_7_clip_image044.gif)
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Paper By Mr. Manish Lekhwar
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