JEE Advanced · Mathematics · 18. Matrices
Paragraph:
Read the following passage and answer the questions.
Question:
The value of \(\left[\begin{array}{lll}3 & 2 & 0\end{array}\right]\left[\begin{array}{l}3 \\ 2 \\ 0\end{array}\right]\) is
- A
\([5]\)
- B
\(\left[\frac{5}{2}\right]\)
- C
[4]
- D
\(\left[\frac{3}{2}\right]\)
Answer & Solution
Correct Answer
(A)
\([5]\)
Step-by-step Solution
Detailed explanation
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Mathematics
- An engineer is required to visit a factory for exactly four days during the first days of every month and it is mandatory that no two visits take place on consecutive days. Then the number of all possible ways in which such visits to the factory can be made by the engineer during June is_____JEE Advanced 2020 Easy
- Let be a sequence of positive integers in arithmetic progression with common difference . Also, let be a sequence of positive integers in geometric progression with common ratio . If , then the number of all possible values of , for which the equality holds for some positive integer , is _______JEE Advanced 2020 Medium
- Lines \(L_1: y-x=0\) and \(L_2: 2 x+y=0\) intersect the line \(L_3: y+2=0\) at \(P\) and \(Q\), respectively. The bisector of the acute angle between \(L_1\) and \(L_2\) intersects \(L_3\) at \(R\).
Statement I The ratio \(P R: R Q\) equals \(2 \sqrt{2}: \sqrt{5}\).
Statement II In any triangle, bisector of an angle divides the triangle into two similar triangles.JEE Advanced 2007 Medium - A cylindrical container is to be made from certain solid material with the following constraints: It has a fixed inner volume of , has a 2 mm thick solid wall and is open at the top. The bottom of the container is a solid circular disc of thickness 2mm and is of radius equal to the outer radius of the container.
If the volume of the material used to make the container is minimum when the inner radius of the container is 10mm, then the value of isJEE Advanced 2015 Medium - Paragraph:
Box \(1\) contains three cards bearing numbers \(1,2,3\); box \(2\) contains five cards bearing numbers \(1,2,3,4,5\); and box \(3\) contains seven cards bearing numbers \(1,2,3,4,5,6,7\). A card is drawn from each of the boxes. Let \(x_{i}\) be the number on the card drawn from the \(i^{t h}\) box, \(i=1,2,3\).
Question:
The probability that \(x_{1}+x_{2}+x_{3}\) is odd, isJEE Advanced 2014 Medium - Consider the planes \(3 x-6 y-2 z=15\) and \(2 x+y-2 z=5\).
Statement I The parametric equations of the line of intersection of the given planes are \(x=3+14 t, y=1+2 t\) and \(z=15 t\).
Statement II The vectors \(14 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+15 \hat{\mathbf{k}}\) is parallel to the line of intersection of the given planes.JEE Advanced 2007 Medium
More PYQs from JEE Advanced
- A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If \(\rho_{c}\) is the relative density of the material of the shell with respect to water, then the correct statement is that the shell isJEE Advanced 2012 Easy
- The monomer (X) involved in the synthesis of Nylon 6,6 gives positive carbylamine test. If 10 moles of \(\mathbf{X}\) are analyzed using Dumas method, the amount (in grams) of nitrogen gas evolved is ______ .
Use: Atomic mass of N (in amu) = 14JEE Advanced 2025 Medium - A plane polarized blue light ray is incident on a prism such that there is no reflection from the surface of the prism. The angle of deviation of the emergent ray is (see Figure-). The angle of minimum deviation for red light from the same prism is (see Figure-). The refractive index of the prism material for blue light is . Which of the following statement(s) is(are) correct?
JEE Advanced 2023 Medium - An -particle (mass amu) and a singly charged Sulphur ion (mass amu) are initially at rest. They are accelerated through a potential and then allowed to pass into a region of uniform magnetic field which is normal to the velocities of the particles. Within this region, the -particle and the sulphur ion move in circular orbits of radii and , respectively. The ratio is __________ .JEE Advanced 2021 Easy
- Column I contains a list of processes involving expansion of an ideal gas. Match this with Column II describing the thermodynamic change during this process. Indicate your answer by darkening the appropriate bubbles of the \(4 \times 4\) matrix given in the ORS.
JEE Advanced 2008 Hard - The number of matrices with entries from , such that the sum of the diagonal elements of is , areJEE Advanced 2017 Hard