Tip:A–D to answerE for explanationV for videoS to reveal answer
The determinant of the identity matrix of order 3 is :
- A.
0
- B.
1
(Correct Answer) - C.
3
- D.
-1
Explanation
Solution
Order 3 ki Identity Matrix (I3) ko is prakar likha jata hai:
I3=100amp;0amp;1amp;0amp;0amp;0amp;1
Iska determinant nikalne ke liye:
∣I3∣=det100amp;0amp;1amp;0amp;0amp;0amp;1
Calculation (Pehli row ke anusaar expand karne par):
∣I3∣=1(1×1−0×0)−0(0×1−0×0)+0(0×0−0×1)
Explanation
Solution
Order 3 ki Identity Matrix (I3) ko is prakar likha jata hai:
I3=100amp;0amp;1amp;0amp;0amp;0amp;1
Iska determinant nikalne ke liye:
∣I3∣=det100amp;0amp;1amp;0amp;0amp;0amp;1
Calculation (Pehli row ke anusaar expand karne par):
∣I3∣=1(1×1−0×0)−0(0×1−0×0)+0(0×0−0×1)
