Download App

Algebra of Matrices — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsAlgebra of Matrices1 Mark
Question
Given an example of:
A diagonal matrix which is not scalar.
✓

Answer

$\begin{bmatrix}1&0&0\\0&2&0\\0&0&3\end{bmatrix}$
For a diagonal matrix which is not scalar, all elements except those in the leading diagonal should be zero and the elements in the diagonal should not be equal.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Answer the following questions in short." from Algebra of Matrices→Algebra of Matrices — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Verify if the point having position vector $4 \hat{ i }-11 \hat{ j }+2 \widehat{ k }$ lies on the line $\overline{ r }=(6 \hat{ i }-4 \hat{ j }+5 \widehat{ k })+\mu(2 \hat{ i }+7 \hat{ j }+3 \widehat{ k })$
→
Write the order of the differrntial quation associated with the primitive $\text{y}=\text{C}_{1}+\text{C}_{2}\text{e}^{\text{x}}+\text{C}_{3}\text{e}^{-2\text{x}+\text{C}_{4}}$ where $C_1, C_{2,} C_3, C_4$​​​​​​​ are arbitrary constants.
→
Show that the function $f(x) = x^3 + 10x + 7$ for $x \in R$ is strictly increasing
→
Integrate the following functions w.r.t. x:
$x^2\left(1-\frac{2}{x}\right)^2$
→
Determine the truth values ofp and q in the following cases : (p ∧ q) is F and (p ∧ q) → q is T
→
Integrate the following w.r.t. x:

$\frac{1}{x \sin ^2(\log x)}$

→
Solve the following differential equations.

$\log \left(\frac{d y}{d x}\right)=2 x+3 y$

→
Write the order of the differential equation of the family of circles touching X-axis at the origin.
→
Evaluate:
$\int \frac{\sin x}{1+\sin x} \cdot d x$
→
Evaluate the following functions : $\int \frac{e^x(1+x)}{\cos \left(x \cdot e^x\right)} \cdot d x$
→