UP Board Class 12 Matrices and Determinants — practice questions
28 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice UP Board Class 12 Matrices and Determinants in the app →The product of a matrix $A$ of order $2\times 3$ and $B$ of order $3\times 4$ has order:The transpose of $A^T$ is:A square matrix $A$ is symmetric if:A square matrix $A$ has an inverse if and only if: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: