01If \(A=\begin{bmatrix}1&2&3\\4&5&6\end{bmatrix}\), what is the order of \(A^T\)?मानें \(A=\begin{bmatrix}1&2&3\\4&5&6\end{bmatrix}\)। \(A^T\) का क्रम क्या होगा?
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Mathematics
Transpose of a matrix
In this Class 12 Mathematics topic from the chapter Matrix, students learn how to form the transpose of a matrix by interchanging its rows and columns. They practise writing the transpose using the notation Aᵀ, identify how the order changes from m × n to n × m, and verify key properties such as (Aᵀ)ᵀ = A and (A + B)ᵀ = Aᵀ + Bᵀ. The topic also builds understanding of symmetric matrices and prepares students for further matrix operations.
Easy · Level 1 · 1 questions