Download App

MATRICES — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMATRICES1 Mark
Question
If $\text{A}=\begin{pmatrix} \cos\alpha & -\sin\alpha \\ \sin\alpha & \cos\alpha \\ \end{pmatrix}$, then for what value $\alpha$ of is A an identity matrix?
✓

Answer

$\alpha=0^o$.

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 "1 Marks Question" from MATRICES→MATRICES — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Find the value of p if
$(2\hat{\text{i}}+6\hat{\text{j}}+27\hat{\text{k)}}\times(\hat{\text{i}}+3\hat{\text{j}}+\text{p}\hat{\text{k}})=\vec{0}.$
→
Evaluate the following:
$\sin\Big(\sin^{-1}\frac{7}{25}\Big)$
→
Write the degree of the following differrntial equation $ \Big(\frac{\text{dy}}{\text{dx}}\Big)^{4}+3\text{x}\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}=0.$
→
Find $ \int ( \sqrt { \cot x } + \sqrt { \tan x } )$dx
→
Define position vector.
→
Find the order and degree (if defined) of the differential equation $\left(\frac{d y}{d x}\right)^{3}-4\left(\frac{d y}{d x}\right)^{2}+7 y=\sin x$
→
If $A = \left[ {\begin{array}{*{20}{c}} 1&1&{ - 2} \\ 2&1&{ - 3} \\ 5&4&-9 \end{array}} \right]$ find |A|.
→
If $\left|\begin{array}{cc} {x} & {2} \\ {18} & {x} \end{array}\right|=\left|\begin{array}{cc} {6} & {2} \\ {18} & {6} \end{array}\right|$ , then $x$ is equal to
→
Write the element $\text{a}_{23} \text{ of a 3} \times \text{3 matrix A} = \text({a}_{\text{ij})}$ whose elements $\text{a}_{\text{ij}}$ are given by $\text{a}_{\text{ij}} = \frac{|\text{i - j|}}{2}.$
→
If $|\vec{\text{a}}|=\sqrt{3},|\vec{\text{b}}|=2\text{ and }\vec{\text{a}}\cdot\vec{\text{b}}=3$find the angle between $\vec{\text{a}}$and $\vec{\text{b}}$.
→