alleryInterchanging the rows and columns of a determinant leaves it:
ANegated
BUndefined
CUnchanged
DDoubled up
Answer & Solution
Correct answer: C. Unchanged
1. Swapping rows for columns gives the transpose.
2. Working out the new determinant gives the same value.
3. So the determinant is unchanged.
_Source: syllabus Mathematics Part I, Chapter 4, Determinants._
Keep practising Determinants
Browse all Determinants questions for CBSE Class 12 (Commerce), or explore more Mathematics topics.
Related questions
Two linear equations in x and y have a unique solution when which holds?Solve 2x + y = 7 and x + y = 4 by the matrix method. Find x.If |A| = 0 and (adj A)B = O, the system AX = B is what?If |A| = 0 and (adj A)B is not the zero matrix, what follows?For AX = B with |A| nonzero, how is X found by the matrix method?A system of equations is called consistent when what is true?For A with rows (1, 2) and (3, 4), what is the top-left entry of A inverse?For a non-singular matrix A, the inverse equals what?