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If A=[(2,2,1),(1,3,1),(1,2,2)] then A^-1...

If `A=[(2,2,1),(1,3,1),(1,2,2)] then A^-1+(A-5I)(A-I)^2=` (i)`1/5 [[4,2,-1],[-1,3,1],[-1,2,4]]` (ii)`1/5 [[4,-2,-1],[-1,3,-1],[-1,-2,4]]` (iii)`1/3 [[4,2,-1],[-1,3,1],[-1,2,4]]` (iv)`1/3 [[4,-2,-1],[-1,3,-1],[-1,-2,4]]`

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If A = [(2,2,1), (1,3,1), (1,2,2)] then A^-1+(A-5I) (AI)^2 = (i) 1/ 5 [[4,2, -1], [-1,3,1], [-1,2,4]] (ii) 1/5 [[4, -2, -1], [-1, 3, -1], [-1, -2,4]] (iii) 1/3 [[4,2, -1], [-1,3,1], [-1,2,4]] (iv) 1/3 [[4, -2, -1], [-1,3, -1], [-1, -2,4]]

I: If A=[(1,2),(3,4)] then A^(-1)=[(4,-2),(-3,1)] II: If A=[(3,4),(2,1)] then A^(-1)=1/5[(-1,4),(2,-3)]

If A^(-1)=1/3[(1,4,-2),(-2,-5,4),(1,-2,1)] and |A|=3 the Adj A =

Evaluate the following : {[[1,3],[-1,-4]]+[[3,-2],[-1,1]]}[[1,3,5],[2,4,6]]

Compute the indicated products.(i) [[a, b],[-b ,a]][[a,-b],[b, a]] (ii) [[1],[ 2],[ 3]][[2, 3 ,4]] (iii) [[1,-2],[ 2 ,3]] [[1 ,2, 3],[ 2, 3 ,1]] (iv) [[2, 3 ,4 ],[3, 4 ,5],[ 4, 5, 6]][[1,-3, 5],[ 0, 2, 4],[ 3, 0, 5]] (v) [[2,1],[3,2],[-1,1]] [[1, 0, 1],[-1, 2 ,1]] (vi) [[3,-1, 3],[1,0,2]] [[2 ,-3],[ 1, 0],[ 3, 1]]

Compute the indicated products.(i) [[a, b],[-b ,a]][[a,-b],[b, a]] (ii) [[1],[ 2],[ 3]][[2, 3 ,4]] (iii) [[1,-2],[ 2 ,3]] [[1 ,2, 3],[ 2, 3 ,1]] (iv) [[2, 3 ,4 ],[3, 4 ,5],[ 4, 5, 6]][[1,-3, 5],[ 0, 2, 4],[ 3, 0, 5]] (v) [[2,1],[3,2],[-1,1]] [[1, 0, 1],[-1, 2 ,1]] (vi) [[3,-1, 3],[1,0,2]] [[2 ,-3],[ 1, 0],[ 3, 1]]

" (i) |[2,5], [6,0]| (ii) |[2,-1],[3,2]| (iii) |[0,4],[5,-1]| (iv) |[(1)/(2),1],[(3)/(4),(1)/(5)]|

Express the following matrices as the sum of a symmetric and a skew symmetric matrix:(i) [[3, 5],[ 1,-1]] (ii) [[6,-2, 2],[-2, 3,-1],[ 2,-1, 3]] (iii) [[3, 3,-1],[-2,-2, 1],[ 4, 5, 2]] (iv) [[1 ,5],[-1, 2]]

Evaluate : if possible (i) [3,2] [{:(,2),(,0):}] (ii) [1 , -2] [{:(,-2,3),(,-1,4):}] (iii) [{:(,6,4),(,3,-1):}] [{:(,-1),(,3):}] (iv) [{:(,6,4),(,3,-1):}] [{:(,-1),(,3):}]

Compute the indicated products. i) [[a , b],[ -b , a]] [[a, -b],[ b, a]] ii) [[1], [ 2], [3]][[2, 3 ,4]] iii) [[1, (-2)],[ 2 ,3]] [[1 , 2 ,3],[ 2, 3 , 1]] iv) [[2 , 3 , 4 ],[ 3 , 4 , 5 ],[ 4, 5 ,6]] [[1 , -3, 5],[ 0, 2, 4],[ 3, 0, 5]] v) [[2 , 1],[ 3 , 2],[ (-1), 1]] [[1, 0 , 1],[ (-1), 2, 1]] vi) [[3, (-1), 3],[ (-1), 0, 2]][[2, -3],[ 1 , 0],[ 3, 1]]