Harshal posted an Question
July 29, 2020 • 15:34 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let n be a positive integer and let m, (r) denotes the space of all n xn real matrices. if t: m,(r) ~ m,(r) is a linear transformation such thatt(a) = 0 wheneve

Let n be a positive integer and let M, (R) denotes the space of all n xn real matrices. If T: M,(R) ~ M,(R) is a linear transformation such thatT(A) = 0 wheneverAE M,(R) is symmetric or skew symmetric then the rank of T is OA. n(n+1) 2 B. n(n +1) 2 C.n OD. 0

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    Deepak singh 1 best-answer

    see attached

    cropped-1544436424.jpg
    cropped1670149058.jpg
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    every matrix can be written in combination of symmetric and skew symmetric matrix

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