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The equation [[1, 2 ,2 ],[1 ,3, 4],[ 2, ...

The equation `[[1, 2 ,2 ],[1 ,3, 4],[ 2, 4,k]][(x) ,(y), (z)] =[(0),(0), (0)]` has `a` solution for `(x ,y ,z)` besides `(0,0,0)dot` Then the value of `k` is _______.

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CENGAGE PUBLICATION-MATRICES-All Questions
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  2. A=[(1,tan x),(-tan x,1)] and f(x) is defined as f(x)= det. (A^(T)A^(-1...

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  3. The equation [[1, 2 ,2 ],[1 ,3, 4],[ 2, 4,k]][(x) ,(y), (z)] =[(0),(0)...

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  4. If D(1) and D(2) are two 3xx3 diagonal matrices, then which of the fol...

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  6. If C is skew-symmetric matrix of order n and X is nxx1 column matrix, ...

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  9. Let A=a0 be a matrix of order 3, where a(i j)=x ; ifi=j ,x in R, 1 if...

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  12. Each question has four choices a, b, c and d, out of which only one is...

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  13. IfD=d i ag[d1, d2, dn] , then prove that f(D)=d i ag[f(d1),f(d2), ,f(...

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  14. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

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  15. If F(x)=[("cos"x,-sin x,0),(sin x,cos x,0),(0,0,1)] and G(y)=[(cos y,0...

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  16. If f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[ 0, 0, 1]],...

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  17. Elements of a matrix A of order 10xx10 are defined as a("ij")=omega^(i...

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  18. If A is a 3xx3 skew-symmetric matrix, then trace of A is equal to -1 b...

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  19. If A and B are symmetric matrices of the same order and X=AB+BA and Y=...

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  20. The number of solutions of the matrix equation X^2=[[1, 1],[ 2, 3]] is...

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