EASY
12th CBSE
IMPORTANT
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If A=aij is a 3×3 scalar matrix such that   a11= 2, then write the value of A.

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Important Questions on Determinants

EASY
12th CBSE
IMPORTANT
If I3 denotes identity matrix of order 3×3, write the value of its determinant.
EASY
12th CBSE
IMPORTANT
A matrix  A  of order 3×3 has determinant 5. What is the value of 3A?
EASY
12th CBSE
IMPORTANT
On expanding by first row, the value of the determinant of 3×3 square matrix A=aij is a11C11+a12C12+a13C13 , where cij is the cofactor of  aij  in  A. Write the expression for its value on expanding by second column.
MEDIUM
12th CBSE
IMPORTANT

Let A=aij be a square matrix of order 3×3 and Cij denote cofactor of aij in A. If |A|=5, write the value of a31C31+a32C32+a33C33

EASY
12th CBSE
IMPORTANT

Let A=aij be a square matrix of order 3×3 and Cij denote cofactor of aij in A. If |A|=5, write the value of 

 a11C21+a12C22+a13C23.

EASY
12th CBSE
IMPORTANT
Write the value of sin20°-cos20°sin70°cos70°.
EASY
12th CBSE
IMPORTANT
If A is a square matrix satisfying ATA=I, write the value of A.
EASY
12th CBSE
IMPORTANT
If A and B are square matrices of the same order such that |A|=3 and AB=I, then write the value of B.