enEnglishguગુજરાતી
GUJCET · Maths · Matrices
If \( A=\left[\begin{array}{rrr}0 & 0 & -5 \\ 0 & -5 & 0 \\ -5 & 0 & 0\end{array}\right]\) then, \(A^2=\) ____________ .
- A \(25 I\)
- B \(- 5 I\)
- C \(25 A\)
- D \(5 A\)
Answer & Solution
Correct Answer
(A) \(25 I\)
Step-by-step Solution
Detailed explanation
\( \mathrm{A}^2 = \left[\begin{array}{rrr}0 & 0 & -5 \\ 0 & -5 & 0 \\ -5 & 0 & 0\end{array}\right] \left[\begin{array}{rrr}0 & 0 & -5 \\ 0 & -5 & 0 \\ -5 & 0 & 0\end{array}\right] \) \( \mathrm{A}^2 = \left[\begin{array}{ccc} (0)(0)+(0)(0)+(-5)(-5) & (0)(0)+(0)(-5)+(-5)(0) & (0)(-5)+(0)(0)+(-5)(0) \\ (0)(0)+(-5)(0)+(0)(-5) & (0)(0)+(-5)(-5)+(0)(0) & (0)(-5)+(-5)(0)+(0)(0) \\ (-5)(0)+(0)(0)+(0)(-5) & (-5)(0)+(0)(-5)+(0)(0) & (-5)(-5)+(0)(0)+(0)(0) \end{array}\right] \)
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 Maths
- For \(y=7 \sin x+5 \cos x, \frac{d^2 y}{d x^2}-m y=0\) then, \(m=\) _________.GUJCET 2024 Hard
- If \(\int\left\{\cos ^{-1} x-\left(1-x^2\right)^{-\frac{1}{2}}\right\} k d x=k \cdot \cos ^{-1} x+c\) then \(k=\) _________ .GUJCET 2023 Medium
- The maximum value of \(Z=60 x+10 y\) whose, corner points are \((10,0),(2,4),(1,5)\) and \((0,8)\) is _________ .GUJCET 2019 Easy
- If matrix \(A=\left[\begin{array}{lll}0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1\end{array}\right]\) and inverse of matrix \(A\) is \(\frac{1}{-2}\left[\begin{array}{rrr}-1 & 1 & -1 \\ 8 & -6 & 2 \\ -x & 3 & -1\end{array}\right]\) then, \(x=\) ____________GUJCET 2020 Medium
- The area of triangle whose vertices are \(A (1,1,1), B (1,2,3)\) and \(C (2,3,1)\) is _________ sq. units.GUJCET 2022 Hard
- If \(\vec{a}=2 \hat{i}-\hat{j}+\hat{k}, \vec{b}=\hat{i}+\hat{j}-2 \hat{k}\), \(\vec{c}=\hat{i}+3 \hat{j}-\hat{k}\) are given vectors. If \(\vec{a}\) is perpendicular to \(\lambda \vec{b}+\vec{c}\) then \(\lambda=\) _________ .GUJCET 2020 Easy
More PYQs from GUJCET
- What is the full form of UTR?GUJCET 2026 Easy
- The magnitude of the drift velocity per unit electric field is known as ________.GUJCET 2024 Medium
- Which is the oxidized product obtained with benzene diazonium chloride reacts acid in presence of water?GUJCET 2018 Hard
- In human genome project, among two major approaches sequencing the whole set of genome, that contained all the coding and non-coding sequence and later assigning different regions in the sequence with functions is called ___________ .GUJCET 2026 Medium
- A conducting ring of radius \(r\) is placed perpendicularly inside a time varying magnetic field given by \(B = B _0+\alpha t\) as shown in fig. \(B _0\) and \(\alpha\) are positive constants. Find \(e m f\) produced in the ring.
GUJCET 2008 Easy - For which vitamin liver is not the source ?GUJCET 2015 Easy