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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=[] and
X1,X2,X3 be three column matrices such that
AX1=[],AX2=[] and
AX3=[] 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 respectively |
| (II) 3det(A) is | (ii) 3 | (Q) 11‌th ‌ term of A.P. whose first 3 terms are ‌,‌,1 respectively |
| (III) [det(adj)X]1∕2 | (iii) 0 | (R) 9‌th ‌ term of A.P. whose first 3 terms are ‌,‌,‌ respectively |
| (IV) Sum of the elements of X−1 is<\/td> | (iv) -1 | (S) 10‌th ‌ term of A.P. whose first 3 terms are ‌,‌,‌ respectively |