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Class 12MathematicsMatrixOrder of a matrixEasy
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What is the order of \(A=\begin{bmatrix}2\\3\\4\\5\end{bmatrix}\)?

Answer and explanation

Correct answer: \(4\times1\)

The matrix has four rows (2, 3, 4, 5) and one column, so its order is \(4\times1\). Option A (\(1\times4\)) is the closest distractor but incorrect because it denotes a 1-row, 4-column matrix; here there are 4 rows. Exam tip: Always count rows first, then columns (rows × columns).

Related tags

MatricesOrderColumn-VectorRows-And-ColumnsClass12Order Of A MatrixMatrixMathematics
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10 more MCQs
  1. 1What is the order of the matrix \(A=\begin{bmatrix}1&2&3\\4&5&6\end{bmatrix}\)?
  2. 2How many rows are there in the matrix \(A=\begin{bmatrix}1&2\\3&4\\5&6\end{bmatrix}\)?
  3. 3How many columns does the matrix \(A=\begin{bmatrix}1&2&3&4\\5&6&7&8\\\end{bmatrix}\) have?
  4. 4If a matrix has order \(m\times n\), how many elements does it contain?
  5. 5If a matrix has 15 elements and 3 rows, how many columns does it have?
  6. 6If a matrix has 24 elements and 6 columns, how many rows does it have?
  7. 7How many elements are there in a \(1\times1\) matrix?
  8. 8What is the order of the matrix \(A=\begin{bmatrix}2&3&4\end{bmatrix}\)?
  9. 9What type of matrix is \(C=\begin{bmatrix}4 & 5 & 6\end{bmatrix}\)?
  10. 10If a matrix has (3) rows and (4) columns, how many elements does it have?
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