Download App

Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices4 Marks
Question
If $A=\left[\begin{array}{ll}2 & 5 \\ 1 & 3\end{array}\right], B=\left[\begin{array}{cc}4 & -2 \\ -1 & 3\end{array}\right]$ and $I$ is the identity matrix of the same order and $A ^t$ is the transpose of matrix A , find $A ^{ t } B + BI$
✓

Answer

Self

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 "[4 marks sum]" from Matrices→Matrices — all question types→Mathematics STD 10 question papers→ICSE Board STD 10 question papers→ICSE Board question paper generator→

Similar questions

The sum of three numbers in GP is $38$ and their product is $1728$. Find the numbers.
→
If $u, v, w$, and $x$ are in continued proportion, then prove that $(2 u+3 x):(3 u+4 x)::\left(2 u^3+3 v^3\right):\left(3 u^3+4 v^3\right)$
→
Two vertical poles are on either side of a road. $A 30 \ m$ long ladder is placed between the two poles. When the ladder rests against one pole, it makes angle $32^\circ 24\ '$ with the pole and when it is turned to rest against another pole, it makes angle $32^\circ 24\ '$ with the road. Calculate the width of the road.
→
Find the $31^{\text {st }}$ term of an $A.P$. whose $11^{\text {th }}$ term is $38$ and $6^{\text {th }}$ term is $73 .$
→
Determine the centre of the circle on which the points $(1, 7), (7 – 1),$ and $(8, 6)$ lie. What is the radius of the circle?
→
If P = { x : -3 < x ≤ 7, x ∈ R} and Q = { x : - 7 ≤ x < 3, x ∈ R} , represent the following solution set on the different number lines:
Q' ∩ P
→
Prove the following identity:
$
\frac{\cos A}{1-\tan A}+\frac{\sin ^2 A}{\sin A-\cos A}=\cos A+\sin A
$
→
A manufacturer marks an article for ₹ 5000. He sells it to a wholesaler at a discount of 25% on the marked price and the wholesaler sells it to a retailer at a discount of 15% on the marked price. The retailer sells it to a consumer at the marked price and at each stage, the VAT is 8%.
Calculate the amount of VAT received by the Government from :
(i) the wholesaler.
(ii) the retailer.
→
Using a ruler and a pair of compasses only, construct, a triangle ABC , given $\mathrm{AB}=4 \mathrm{~cm}, \mathrm{BC}=6 \mathrm{~cm}$ and $\angle \mathrm{ABC}=90^{\circ}$. Then construct a circle passing through the points, $\mathrm{A}, \mathrm{B}$ and C and mark its centre as O .
→
The marks obtained by $120$ students in a test are given below:
Marks 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 80 - 90 90 - 100
No. of Students 5 9 16 22 26 18 11 6 4 3
Draw an ogive for the given distribution on a graph sheet.
Use suitable scale for ogive to estimate the following :
(i) the median.
(ii) The number of students who obtained more than 75% marks in the test.
→