AP EAMCET202023 Sep 2020Morning ShiftMathematicsMatricesActual

Find the rank of the matrix 1 4 - 1 2 3 0 0 1 2 .

Options

Correct answer

C. 3

Step-by-step solution

Consider the matrix, 1 4 - 1 2 3 0 0 1 2 A is the matrix of the order 3 × 3 Now, A = 1 4 - 1 2 3 0 0 1 2 = 1 6 - 0 - 4 4 - 0 - 1 2 - 0 = 6 - 16 - 2 = - 12 ≠ 0 ⇒ A ≠ 0 Rank of matrix A = Order of matrix = 3 Rank of given matrix = 3 .

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