MP Board Class 12 (MPBSE) Algebra — practice questions
13 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice MP Board Class 12 (MPBSE) Algebra in the app →If $A$ is a matrix of order $3 \times 4$ and $B$ is of order $4 \times 5$, then the order of the product $AB$ The identity matrix $I_n$ is a square matrix in which:For any square matrix $A$, the matrix $A + A'$ is:The diagonal entries of any skew-symmetric matrix are:If $A$ and $B$ are matrices for which $AB$ is defined, then $(AB)'$ equals:A square matrix $A$ is **invertible** if and only if:If $A$ and $B$ are invertible $n \times n$ matrices, then $(AB)^{-1}$ equals:For a non-singular $n \times n$ matrix $A$, the relation between $\det(\operatorname{adj} A)$ and $\det A$ is:A square matrix $A$ is called **idempotent** if:For the matrix $A = \begin{bmatrix} 2 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 4 \end{bmatrix}$, the inverse $A^{-1}$ iThe trace of the matrix $A = \begin{bmatrix} 1 & 2 & -1 \\ 0 & 5 & 3 \\ 4 & -2 & 7 \end{bmatrix}$ is:A square matrix $A$ satisfies $A^T A = I$. Such a matrix is called:If $A$ is a square matrix with $|A| = 3$ and order $n = 3$, then $|\operatorname{adj}(A)|$ equals: