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APPLICATIONS OF MATRICES AND DETERMINANTS
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FULL MARKS-APPLICATIONS OF MATRICES AND DETERMINANTS-EXERCISE -1.1
- Find the adjoint of the following : [[2,3,1],[3,4,1],[3,7,2]]
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- Find the inverse (if it exists) of the following: (i) [{:(-2,4),(1,-...
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- If F(alpha)=[[cos alpha,0,sin alpha],[0,1,0],[-sin alpha,0,cos alpha]]...
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- If A=[[5,3],[-1,-2]], show that A^(2)-3A-7I(2)=O(2) Hence find A^(-1).
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- If A=(1)/(9)[{:(-8,1,4),(4,4,7),(1,-8,4):}] prove that A^(-1)=A^(T).
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- If A=[{:(8,-4),(-5,3):}], verify that A(adjA)=(adjA)A=|A|I(2).
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- If A=[{:(3,2),(7,5)],andB=[(-1,-3),(5,2):}] verify that (AB)^(-1)=B^(-...
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- If adj (A) = [{:(2,-4,2),(-3," "12,-7),(-2," "0,2):}], find A.
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- If adj (A) = [{:(0,-2,0),(6,2,-6),(-3,0,6):}] "find" " "A^(-1).
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- Find adj (adj(A)) if adj A = [{:(1,0,1),(0,2,0),(-1,0,1):}].
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- A=[[1, tan x],[-tan x,1]], show that A^(T)A^(-1)=[[cos 2x,-sin 2x],[si...
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- Find the matrix A for which A[{:(5,3),(-1,-2):}]= [(14,7),(7,7)].
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- Given A=[{:(1,-1),(2,0)],B=[(3,-2),(1,1)]andC[(1,1),(2,2):}], find a m...
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- If A=[{:(0,1,1),(1,0,1),(1,1,0):}] show that A^(-1)=(1)/(2)(A^(2)=3I)
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- Decrypt the received encoded message [2,-3][20,4] with the encryption ...
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