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" If "|{:(sin 0 cos phi,,sin 0 sin phi,,...

`" If "|{:(sin 0 cos phi,,sin 0 sin phi,,cos 0),(cos 0 cos phi,, cos 0 sin phi,,-sin 0),(-sin 0 sin phi,,sin 0 cos phi,,0):}|`then

A

`Delta` is independent of `theta`

B

`Delta` is independt of `phi`

C

`Delta` is a constant

D

none of these

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The correct Answer is:
B
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RESONANCE ENGLISH-MATRICES & DETERMINANT-EXERCISE-2
  1. Flind the product of two matrices A =[[cos^(2) theta , cos theta sin...

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  2. If AB=O for the matrices A=[[cos^2theta,costhetasintheta],[costhetasin...

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  3. If X=[(3,-4),(1,-1)] the value of X^(n) is

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  4. about to only mathematics

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  5. The number of nxxn matrix A and B such that AB - BA = I is. . .

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  6. If B, C are square matrices of order n and if A = B + C, BC = CB,C^2=0...

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  7. How many 3 x 3 skew symmetric matrices can be formed using numbers -2,...

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  8. If A is a skew-symmetric matrix and n is an even natural number,...

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  9. Matrix A such that A^(2)=2A-I, where I is the identity matrix, then fo...

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  10. about to only mathematics

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  11. " If "|{:(sin 0 cos phi,,sin 0 sin phi,,cos 0),(cos 0 cos phi,, cos 0 ...

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  12. Prove that |{:(1+a^(2)+a^(4),,1+ab+a^(2)b^(2),,1+ac+a^(2)c^(2)),(1+ab+...

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  13. Using properties of determinants, prove that : |{:(a^(2)+1,ab,ac),(b...

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  14. Value of the Delta=|{:(,a^(3)-x,a^(4)-x,a^(5)-x),(,a^(5)-x,a^(6)-x,a^(...

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  15. If Delta1=|[2a,b,e],[2d,e,f],[4x,2y,2z]|,Delta2=|[f,2d,e],[2z,4x,2y],[...

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  16. From the matrix equation AB=AC, we conclude B=C provided.

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  17. Let A=|{:(,-2,7,sqrt3),(,0,0,-2),(,0,2,0):}| and A^(4)=lambda,I,"then"...

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  18. If A is 3 xx 3 square matrix whose characteristics polynomical equatio...

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  19. If a,b,c are non-zeros, then the system of equations {:((alpha+a)x+a...

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