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JEE Advanced 2020 Concept Recapitulation Test 1 Paper 1

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Answer questions 47,48 and 49 by appropriately matching the information given in the three columns of the following table.
Let A=[
100
210
321
] and X1,X2,X3 be three column matrices such that AX1=[
1
0
0
],AX2=[
2
3
0
] and AX3=[
2
3
1
] and X is a 3×3 matrix whose columns are X1,X2,X3 then
 Column - 1  Column - 2  Column - 3
 (I) Value of det(X) is  (i) -3  (P) 7‌th ‌ tem of A.P. whose first 3 terms are ‌
1
2
,‌
13
18
,1 respectively
 (II) 3det(A) is  (ii) 3  (Q) 11‌th ‌ term of A.P. whose first 3 terms are ‌
1
2
,‌
3
4
,1 respectively
 (III) [det(adj)X]1∕2  (iii) 0  (R) 9‌th ‌ term of A.P. whose first 3 terms are ‌
1
3
,‌
7
24
,‌
1
4
 respectively
 (IV) Sum of the elements of X−1 is<\/td>  (iv) -1  (S) 10‌th ‌ term of A.P. whose first 3 terms are ‌
1
3
,‌
7
24
,‌
1
4
 respectively
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