A=\([a_{ji}]_{m*n}\) is a square matrix, if
A=\([a_{ji}]_{m*n}\) is a square matrix, if
m < n
m > n
m = n
None of these
The Correct Option is C
Solution and Explanation
The correct answer is C.
It is known that a given matrix is said to be a square matrix if the number of rows is equal to the number of columns.
Therefore, A= \([a_{ji}]_{m*n}\) is a square matrix, if m = n.
Top Questions on Matrices
- The number of $3\times2$ matrices $A$, which can be formed using the elements of the set $\{-2,-1,0,1,2\}$ such that the sum of all the diagonal elements of $A^{T}A$ is $5$, is
- If \[ X=\begin{bmatrix}x\\y\\z\end{bmatrix} \] is a solution of the system of equations $AX=B$, where \[ \text{adj }A= \begin{bmatrix} 4 & 2 & 2\\ -5 & 0 & 5\\ 1 & -2 & 3 \end{bmatrix} \quad \text{and} \quad B=\begin{bmatrix}4\\0\\2\end{bmatrix}, \] then $|x+y+z|$ is equal to
Let \[ f(x)=\int \frac{7x^{10}+9x^8}{(1+x^2+2x^9)^2}\,dx \] and $f(1)=\frac14$. Given that
- For the matrices \( A = \begin{bmatrix} 3 & -4 \\ 1 & -1 \end{bmatrix} \) and \( B = \begin{bmatrix} -29 & 49 \\ -13 & 18 \end{bmatrix} \), if \( (A^{15} + B) \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 0\\ 0 \end{bmatrix} \), then among the following which one is true?}
- Let the relation \( R \) on the set \( M = \{1, 2, 3, \ldots, 16\} \) be given by \[ R = \{(x, y) : 4y = 5x - 3,\; x, y \in M\}. \] Then the minimum number of elements required to be added in \( R \), in order to make the relation symmetric, is equal to
Questions Asked in CBSE CLASS XII exam
- A proton moving with velocity \( V \) in a non-uniform magnetic field traces a path as shown in the figure. The path followed by the proton is always in the plane of the paper. What is the direction of the magnetic field in the region near points P, Q, and R? What can you say about relative magnitude of magnetic fields at these points?
- CBSE CLASS XII - 2025
- Motion of charged particles in a magnetic field
- Assertion (A): In a first order reaction, if the concentration of the reactant is doubled, its half-life is also doubled.
Reason (R): The half-life of a reaction does not depend upon the initial concentration of the reactant in a first order reaction.- CBSE CLASS XII - 2025
- Chemical Kinetics
Rishika and Shivika were partners in a firm sharing profits and losses in the ratio of 3 : 2. Their Balance Sheet as at 31st March, 2024 stood as follows:
Balance Sheet of Rishika and Shivika as at 31st March, 2024Liabilities Amount (₹) Assets Amount (₹) Capitals: Equipment 45,00,000 Rishika – ₹30,00,000
Shivika – ₹20,00,00050,00,000 Investments 5,00,000 Shivika’s Husband’s Loan 5,00,000 Debtors 35,00,000 Creditors 40,00,000 Stock 8,00,000 Cash at Bank 2,00,000 Total 95,00,000 Total 95,00,000 The firm was dissolved on the above date and the following transactions took place:
(i) Equipements were given to creditors in full settlement of their account.
(ii) Investments were sold at a profit of 20% on its book value.
(iii) Full amount was collected from debtors.
(iv) Stock was taken over by Rishika at 50% discount.
(v) Actual expenses of realisation amounted to ₹ 2,00,000 which were paid by the firm. Prepare Realisation Account.- CBSE CLASS XII - 2025
- Dissolution of Partnership Firm
- Your school is organizing an Inter-House Science Model-Making Competition. As President of the Science Club, draft a notice to inform all House members from IX – XII about the competition and specify the number of registrations invited per house. Include other necessary details. You are Mitali/Mukesh. Put your notice in a box.
- CBSE CLASS XII - 2025
- Letter Writing
- The work function of a material is 2.21 eV. Which of the following cannot produce photoelectrons from it?
- CBSE CLASS XII - 2025
- Photoelectric Effect