CBSE Class 12 Determinants — practice questions
46 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 12 Determinants in the app →The determinant of $\begin{pmatrix}3 & 2 \\ 1 & 4\end{pmatrix}$ is:Swapping two rows of a determinant changes its value by a factor of:If $A$ is a $3\times 3$ matrix with $|A| = 5$, then $|A^{-1}|$ is:Three points $(1, 2), (3, 4), (5, 6)$ on the school graph paper are:A determinant can be associated with which kind of matrix?Determinants here are studied up to which order?Expanding a determinant along different rows gives:For easier work, expand along the row or column with most:A determinant of zero means the matrix is:A matrix whose determinant is not zero is called:The area of a triangle with three collinear points is:The minor of an element is found by deleting its:The minor of an element in an order n determinant has order:The cofactor Aij equals the minor multiplied by:Before finding the inverse of a matrix, we first define its:A square matrix is invertible if and only if it is:If A and B are non-singular of the same order, then AB is:Since area is positive, we take which value of the determinant?If A = kB for square matrices of order n, then det A equals:For a 2 by 2 matrix with A = 2B, det A is det B times:Three points are collinear when the determinant of their coordinates is:When the area is given and you must find a coordinate, use:A determinant may be thought of as a function from matrices to:The worked inverse formula is stated for a matrix of order:A determinant can be associated with a matrix that is:The determinant of a square matrix is a:The determinant may be viewed as a function whose output is:Vertical bars around A are read as the determinant of A, not the:The determinant of a matrix of order one is worked out from:A matrix of order two by two holds entries numbering:A matrix of order three by three holds entries numbering:A determinant of order three is worked out by expressing it in terms:Interchanging the rows and columns of a determinant leaves it:The area of a triangle whose three points are collinear is:Deleting a row and a column of a determinant gives an element's:A minor with a sign attached to it gives the element's:Determinants are used to find the area of a:Determinants are used to find the inverse of a square:Systems of linear equations can be solved using the inverse of a:Determinants can solve systems in two or three:A matrix that is not square has a determinant that is:The determinant of a matrix may be a number that is:The signed minor of an element is written using which letter:Which of these is worked out first, before the cofactor?The adjoint of a matrix is assembled out of its:Determinants take each square matrix to exactly how many values?