Given matrices A = [ array ll 1 & 2 3 & 4 array ] and [ array ll 5 & 6 7 & 8 array ]…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
Given matrices \(\mathrm{A}=\left[\begin{array}{ll}
1 & 2 \\
3 & 4
\end{array}\right] \text { and }\left[\begin{array}{ll}
5 & 6 \\
7 & 8
\end{array}\right],\)which of the following statements is true?
- AB = BA
- det (A)+ det (B) = det(A + B)
- (AB)T = ATBT
- None of these
Answer
(D) None of these
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let P = [ array lll 1 & 0 & 0 3 & 1 & 0 9 & 3 & 1 array ] and Q = [q ij ] be two 3 3 matrices such that Q - P…
- If A= [ array cc p & q -q & p array ], B= [ array cc r & s -s & r array ] then
- If A = [ array cc -1 & 2 3 & -4 array ] then element a 21 of A 2 is -
- Consider the system of linear equations: x 1 + 2x 2 + x 3 = 3, 2x 1 + 3x 2 + x 3 = 3, 3x 1 + 5x 2 + 2x 3 = 1…
- Let A be any 3 3 invertible matrix. Then which one of the following is not always true?
- [ array ll -6 & 5 -7 & 6 array ]^ -1 =
- Inverse of the matrix [ array cc 1 & -2 3 & 4 array ] is:
- If A is an invertible matrix of order n, then the determinant of Adj. A =
More Matrices and Determinants questions · Browse all practice questions