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Matrices

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich of the following matrices is a rectangular matrix?Class 12MatrixTypes of matricesLevel 34EasyMathematicsWhich matrix is a square matrix?Class 12MatrixIntroduction to matricesLevel 34EasyMathematicsWhat type of matrix is \(O=\begin{bmatrix}0&0\\0&0\end{bmatrix}\)?Class 12MatrixTypes of matricesLevel 34EasyMathematicsWhat type of matrix is (A=\begin{bmatrix}1&0\\0&1\end{bmatrix})?Class 12MatrixIntroduction to matricesLevel 34EasyMathematicsWhat does (a_{23}) mean in the matrix (A=[a_{ij}])?Class 12MatrixIntroduction to matricesLevel 34EasyMathematicsIn the matrix \(A=[a_{ij}]_{2\times3}\), what does \(i\) represent?Class 12MatrixIntroduction to matricesLevel 34EasyMathematicsIf a matrix has (3) rows and (4) columns, how many elements does it have?Class 12MatrixIntroduction to matricesLevel 34EasyMathematicsWhat type of matrix is \(C=\begin{bmatrix}4 & 5 & 6\end{bmatrix}\)?Class 12MatrixTypes of matricesLevel 34EasyMathematicsWhat is the order of the matrix \(A=\begin{bmatrix}1&2&3\\4&5&6\end{bmatrix}\)?Class 12MatrixOrder of a matrixLevel 34EasyMathematicsOn all (3\times 3) real matrices, (A RB) if and only if (\operatorname{rank}(A)=\operatorname{rank}(B)). How many equivalence classes are formed?Class 12Relations and FunctionsEquivalence relationLevel 18ExpertMathematicsOn all (2\times 2) real matrices, (A RB) if and only if (\operatorname{tr}(A)=\operatorname{tr}(B)). Why is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17ExpertMathematicsOn the set of (2\times 2) real matrices, (A RB) if and only if (\det(A)=\det(B)). Why is this relation an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16Expert