If A is an invertible matrix of order 3 and |A| = 5, then find |a

Subject

Mathematics

Class

CBSE Class 12

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Sample Papers

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 Multiple Choice QuestionsShort Answer Type

1.

Using principal value, evaluate the following: sin-1 sin3π5 


2.

If the binary operation * on the set of integers Z, is defined by a * b = a + 3b2 , then find the value of 2 * 4.


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3.

If A is an invertible matrix of order 3 and |A| = 5, then find |adj. A|.


 adj A  =  A n-1,  where n is order of square matrix

Given A is an invertible matrix of order 3

 adj A  =  A 3-1 =  A 2Since,   A  = 5  adj A  =  5 2 = 25


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4.

If matrix A = (1, 2, 3), write AA’, where A’ is the transpose of matrix A.


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5.

Write the value of the determinant  2    3   4 5  6   86x  9x  12x


6.

Evaluate: sec2  7 - x  dx


7.

If 01 3x2 + 2x + k  dx = 0  , find the value of k.


8.

Find the projection of a on b if a. b =8  and  b = 2i^ + 6j^ + 3k^


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9.

Write a unit vector in the direction of b = 2i^ + j^ + 2k^.


10.

Write the value of p for which a = 3i^ + 2j^ + 9k^   and    b = i^+pj^ +3k^ are parallel vectors.


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