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MTH501 Quiz No.1 Shared by WASIM RAJA BC100200192

Question # 1 of 10 ( Start time: 02:19:21 PM ) Total Marks: 1
At what condition the Cramer’s formula is valid for linear systems?

Question # 2 of 10 ( Start time: 02:20:01 PM ) Total Marks: 1
|A|.|B| = |A.B|

Question # 3 of 10 ( Start time: 02:20:20 PM ) Total Marks: 1
If B is the matrix obtained by interchanging two rows or columns of the square matrix A, then det (B) = ________.

Question # 4 of 10 ( Start time: 02:21:05 PM ) Total Marks: 1
Let W = {(x, y) such that x, y in R and x = y}. Is W a vector subspace of plane.

Question # 5 of 10 ( Start time: 02:21:55 PM ) Total Marks: 1
If A is n x n matrix and det (A) = 2 then det (A^3) = ________. Where (A^3 =A power 3)

Question # 6 of 10 ( Start time: 02:22:25 PM ) Total Marks: 1
For any 3x3 matrix A where det (A) = 3, then det (2A) = ________.

Question # 7 of 10 ( Start time: 02:23:10 PM ) Total Marks: 1
If M is a square matrix having two rows equal then which of the following about the determinant of the matrix is true?

Question # 8 of 10 ( Start time: 02:24:27 PM ) Total Marks: 1
If |D|=ad-bc is a determinant of an n x n matrix D then at what condition matrix D is invertible?

Question # 8 of 10 ( Start time: 02:24:27 PM ) Total Marks: 1
If |D|=ad-bc is a determinant of an n x n matrix D then at what condition matrix D is invertible?

Question # 9 of 10 ( Start time: 02:25:18 PM ) Total Marks: 1
If r and s are vectors in V and a = (r, s) and b = (u,v) then which of the following is true for addition in V?

Question # 9 of 10 ( Start time: 02:25:18 PM ) Total Marks: 1
If r and s are vectors in V and a = (r, s) and b = (u,v) then which of the following is true for addition in V?

Question # 10 of 10 ( Start time: 02:26:29 PM ) Total Marks: 1
If u and v are vectors in W and u = (1,-3,2) and v = (4,2,1) then which of the following is true for u + v in W ?

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