Let A= bmatrix -5&-3 2&1 bmatrix . The Row transformation R_1 R_1+3R_2 will transform matrix A into

MHT CET 2026 Mathematics question

Let . The Row transformation will transform matrix A into

(A)an upper triangular matrix
(B)a lower triangular matrixCorrect
(C)an identity matrix
(D)a singular matrix

Answer: (B)

Solution

Apply : new first row ; the second row stays . The new matrix is . All entries above the main diagonal are (the entry is ), while the entry is , so it is a lower triangular

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Question ID VK-097802