Related InterviewSolutions

• Let `|(a,l,m),(l,b,n),(m,n,c)||(bc-n^2,mn-lc,ln-bm),(mn-lc,ac-m^2,ml-an),(ln-bm,lm-an,ab-l^2)|=64.` If the value of `|(2a+3l,3l+5m,5m+4a),(2l+3b,3b+5n,5n+4l),(2m+3n,3n+5c,5c+4m)|=lambda` then `[lambda/2]` equalsA. `120`B. `240`C. `360`D. `480`
• Given A = [(4,2,5)(2,0,3)(-1,1,0)], write the value of get.(2AA-1).
• Let A be a square matrix of order 3 × 3. Write the value of |2A|, where |A| = 4.
• Is A is square matrix of 3 and |2A| = k|A|, then the value of k.
• If A and B are square matrices of order 3 such that |A| = -1, |B| = 3,then find the value of |2AB|.
• If Aij is the cofactor o the element aij of the determinant [(2, - 3, 5), (6, 0, 4), (1, 5, - 7)], then write the value of (i) a32A32(ii) M21
• If A is a square matrix and |A| = 2, then write the value of | AA'| , where A' is the transpose of matrix A.
• if A, B are square matrices of the same order, then prove that adj (AB) = (adj B) (adj A).
• If A is square matrix of order 3 such that |adj A| = 64, find |A|.
• If A is square matrix order 2 and |adj A| = 9, find |A|.