Nikhil Kumar Rajpurohit

Numerade Educator
Teacher

Biography

BARC SCIENTIST PHYSICS ,HTET PHYSICS, GATE PHYSICS QUALIFIED
M.Sc. B.Ed.

Education

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Numerade tutor for 5 years
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Topics Covered

Master the Fundamentals of Physics: Learn Physics Basics
Discovering the Fundamentals: Newton's Laws of Motion Explained
Mastering Newton's Laws: Tips for Applying Them Effectively
Discover the Power of Gravitation: Exploring the Science Behind It
Unlock the Power of Vectors: Discover Their Limitless Possibilities

Nikhil's Textbook Answer Videos

03:08
Elementary Linear Algebra

Verify that $\lambda_{i}$ is an eigenvalue of $A$ and that $x_{i}$ is a corresponding eigenvector.

$$A=\left[\begin{array}{ll}4 & -5 \\2 & -3\end{array}\right], \begin{array}{l}\lambda_{1}=-1, \mathbf{x}_{1}=(1,1) \\
\lambda_{2}=2, \mathbf{x}_{2}=(5,2)\end{array}$$

Chapter 7: Eigenvalues and Eigenvectors
Section 1: Eigenvalues and Eigenvectors
Nikhil Kumar Rajpurohit
04:10
Elementary Linear Algebra

Verify that $\lambda_{i}$ is an eigenvalue of $A$ and that $x_{i}$ is a corresponding eigenvector.

$$A=\left[\begin{array}{rrr}2 & 3 & 1 \\0 & -1 & 2 \\0 & 0 & 3\end{array}\right], \begin{array}{l}\lambda_{1}=2, \mathbf{x}_{1}=(1,0,0) \\\lambda_{2}=-1, \mathbf{x}_{2}=(1,-1,0) \\\lambda_{3}=3, \mathbf{x}_{3}=(5,1,2)\end{array}
$$

Chapter 7: Eigenvalues and Eigenvectors
Section 1: Eigenvalues and Eigenvectors
Nikhil Kumar Rajpurohit
03:59
Elementary Linear Algebra

Verify that $\lambda_{i}$ is an eigenvalue of $A$ and that $x_{i}$ is a corresponding eigenvector.

$$A=\left[\begin{array}{rrr}-2 & 2 & -3 \\2 & 1 & -6 \\-1 & -2 & 0\end{array}\right], \begin{array}{l}\lambda_{1}=5, \mathbf{x}_{1}=(1,2,-1) \\\lambda_{2}=-3, \mathbf{x}_{2}=(-2,1,0) \\\lambda_{3}=-3, \mathbf{x}_{3}=(3,0,1)\end{array}$$

Chapter 7: Eigenvalues and Eigenvectors
Section 1: Eigenvalues and Eigenvectors
Nikhil Kumar Rajpurohit
01:25
Elementary Linear Algebra

Verify that $\lambda_{i}$ is an eigenvalue of $A$ and that $x_{i}$ is a corresponding eigenvector.

$$A=\left[\begin{array}{lll}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{array}\right], \lambda_{1}=1, \mathbf{x}_{1}=(1,1,1)$$

Chapter 7: Eigenvalues and Eigenvectors
Section 1: Eigenvalues and Eigenvectors
Nikhil Kumar Rajpurohit
03:12
Elementary Linear Algebra

Verify that $\lambda_{i}$ is an eigenvalue of $A$ and that $x_{i}$ is a corresponding eigenvector.

$$A=\left[\begin{array}{rrr}4 & -1 & 3 \\0 & 2 & 1 \\0 & 0 & 3\end{array}\right], \begin{array}{l}\lambda_{1}=4, \mathbf{x}_{1}=(1,0,0) \\\lambda_{2}=2, \mathbf{x}_{2}=(1,2,0) \\\lambda_{3}=3, \mathbf{x}_{3}=(-2,1,1)\end{array}$$

Chapter 7: Eigenvalues and Eigenvectors
Section 1: Eigenvalues and Eigenvectors
Nikhil Kumar Rajpurohit
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