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6. Determinants
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Q15 of 256 Page 7

If I3 denotes identity matrix of order 3 × 3, write the value of its determinant.


Then,


Expanding along R1


|I3|=1(1×1-0)


=1


More from this chapter

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13

If A = [aij] is a 3 × 3 diagonal matrix such that a11 = 1, a22 = 2 and a33 = 3, then find |A|.

14

If A = [aij] is a 3 × 3 scalar matrix such that a11 = 2, then write the value of |A|.

16

A matrix A of order 3 × 3 has determinant 5. What is the value of |3A|?

17

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 is the cofactor of aij in A. Write the expression for its value of expanding by second column.

Questions · 256
6. Determinants
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