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Free UPSC Mathematics Optional Paper-1 2022 Solutions: View Online | UPSC Maths Solution | IAS Maths Solution

खण्ड A SECTION A Question:-01 (a) सिद्ध कीजिए कि n n nmathrm{n}n विमीय सदिश समष्टि V V Vmathrm{V}V के लिए n n nmathrm{n}n रैखिकत: स्वतंत्र सदिशों का कोई भी समुच्चय V V Vmathrm{V}V के लिए एक आधार बनाता है । Question:-01 (a) Prove that any set of n n nmathrm{n}n linearly independent vectors in a

best optional for UPSC 2021

Free UPSC Mathematics Optional Paper-1 2021 Solutions: View Online | UPSC Maths Solution | IAS Maths Solution

1.(a) यदि A = [ 1 − 1 1 2 − 1 0 1 0 0 ] A = 1 − 1 1 2 − 1 0 1 0 0 A=[[1,-1,1],[2,-1,0],[1,0,0]]A=left[begin{array}{ccc}1 & -1 & 1 \ 2 & -1 & 0 \ 1 & 0 & 0end{array}right]A=[1−112−10100] है, तो A − 1 A − 1

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