AP EAMCET · Maths · Matrices
If \(\mathrm{A}=\left(\begin{array}{ccc}1 & 5 & 3 \\ 2 & 4 & 0 \\ 3 & -1 & -5\end{array}\right), \mathrm{B}=\left(\begin{array}{c}-1 \\ -2 \\ 4\end{array}\right)\) and \([\mathrm{x} \mathrm{y} \mathrm{z}] \mathrm{A}^{\mathrm{T}}=\mathrm{B}^{\mathrm{T}}\), then
\(x+y+z=\)
- A \(4\)
- B \(-2\)
- C \(6\)
- D \(3\)
Answer & Solution
Correct Answer
(C) \(6\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \Rightarrow\left[\begin{array}{ll}x y z\end{array}\right]\left[\begin{array}{ccc}1 & 2 & 3 \\ 5 & 4 & -1 \\ 3 & 0 & -5\end{array}\right]=\left[\begin{array}{lll}-1 & -24\end{array}\right] \\ & \Rightarrow \quad[x+5 y+3 z \quad 2 x+4 y \quad 3 x-y-5…
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
- The number of ways in which 3 men and 3 women can be arranged in a row of 6 seats, such that the first and last seats must be filled by men isAP EAMCET 2024 Easy
- If \(\mathbf{a}=\hat{\mathbf{i}}+\hat{\mathbf{j}}, \mathbf{b}=\hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{c}=\hat{\mathbf{i}}+\hat{\mathbf{k}}\), then
\(\frac{[(\mathbf{b} \times \mathbf{c}) \times(\mathbf{c} \times \mathbf{a})(\mathbf{c} \times \mathbf{a}) \times(\mathbf{a} \times \mathbf{b})(\mathbf{a} \times \mathbf{b}) \times(\mathbf{b} \times \mathbf{c})]}{[\mathbf{b}+\mathbf{c} \mathbf{c}+\mathbf{a} \mathbf{a}+\mathbf{b}][\mathbf{b} \times \mathbf{c} \times \mathbf{a} \mathbf{a} \times \mathbf{b}]}\)AP EAMCET 2018 Medium - The point \(P(4,1)\) undergoes the following transformations in succession :
(i) origin is shifted to the point \((1,6)\) by translation of axes
(ii) translation through a distance of 2 units along the positive direction of X -axis
(iii) rotation of axes through an angle of \(90^{\circ}\) in the positive direction
Then the coordinates of the point \(P\) in its final position areAP EAMCET 2025 Medium - When an unfair dice is thrown, the probability of getting a number \(k\) on it is \(\mathrm{P}(\mathrm{X}=k)=k^2 \mathrm{P}\), where \(k=1,2,3,4,5,6\) and X is the random variable denoting a number on the dice, then the mean of X isAP EAMCET 2024 Easy
- Sum of the squares of the imaginary roots of the equation \(z^8-20 z^4+64=0\) isAP EAMCET 2025 Hard
- The angles of a triangle are in the ratio \(3: 5: 10\). Then the ratio of the smallest side to the greatest side is :AP EAMCET 2006 Medium
More PYQs from AP EAMCET
- Which one of the following is a secondary alcohol?AP EAMCET 2002 Easy
- Which of the following statements is correct about photoelectric effect?
1. The number of electrons ejected from metal surface is inversely proportional to intensity of light.
2. Below threshold frequency, photoelectric effect can be observed.
3. At higher frequency than threshold frequency, the ejected electrons have certain kinetic energy.
4. At higher frequency than threshold frequency, the electron is still on the metal surface.AP EAMCET 2020 Medium - If \(\alpha, \beta, \gamma\) are the roots of the equation \(x^3-a x^2+b x-c=0\), then \(\Sigma \alpha^2(\beta+\gamma)=\)AP EAMCET 2019 Medium
- Consider the following statements.
I. In \(\triangle A B C\), if \(c=6\) and \(\cos C=\frac{-11}{25}\), then
\[
R=\frac{25}{2 \sqrt{14}}
\]
II. In \(\triangle A B C\), if \(a=3, b=4, c=6\), then \(A B C\) is acute angled triangle.
Which of the above statements is/are true?AP EAMCET 2018 Medium - A particle is moving along a horizontal circle of radius ' \(r\) ' under a centripetal force \(\frac{-c}{r^2}\) where ' \(c\) ' is a constant. Then, the total energy of the particle isAP EAMCET 2017 Easy
- Let \(\alpha\) and \(\beta\) be the roots of the equation \(p x^2+q x+r=0, p \neq 0\). If \(p, q, r\) are in AP and \(\frac{1}{\alpha}+\frac{1}{\beta}=4\), then the value of \(|\alpha-\beta|\) isAP EAMCET 2020 Easy