There are a few devices that are essential to install in one’s house. A smoke detector and a carbon monoxide detector are two of those devices. These are life-saving devices. Usually, people underrate these devices and do not know the importance of them. The main function of these devices is to alert people about the … Read more
A fire in a home is uncommon. But if it occurs, it can cause heavy destruction and loss of life. There are many causes due to which a fire can break in a home/building. Some major causes are short-circuiting fault, careless smoking, electrical appliance failure, candles, cooking equipment failure. If it occurs in the building, … Read more
Have you ever had to trim a tree branch? Some people do keep this to possums out of their trees. But most of the time the trimming is necessary when the tree branches are touching the electrical line, or you just want to get more sunlight onto your backyard. Well, this article is about how … Read more
If you have a sheet of a piece of wood to make a straight cut on it, you would surely want it to look elegant and smooth. And you don’t want it to look like a three-year-old took a crayon and just drew a straight line. Right? If you have a table saw, this makes … Read more
Resistance is generally a force that opposes the motion of a body and slows down the performance of the body. In the field of electrical and electronics, the resistance is the opposition offered by the material to the flow of current through it. The S.I. unit of resistance is ohm (Ω). The effect of temperature … Read more
If you are a newbie in your home improvement sector, you might be worried about doing small tasks. Small tasks like removing ceiling light cover with clips will never require too much expertise! If you do it in the right manner, you can do it without the help of any professional! Here, we have come … Read more
A rectangular arrangement of numbers into rows and columns is known as a matrix. The horizontal lines are called rows and the vertical lines are called columns. The matrix is enclosed by [] or (). Let A be any matrix. It can be written as A = [aij]m × n \[A=[a_{ij}]_{m\times n}=\begin{bmatrix} a_{11} & a_{12} … Read more
The sum of the elements of the principal or main diagonal elements of a square matrix is known as the trace of a matrix. It is generally denoted by Tr(P), where P is any square matrix. Trace of a matrix example Let C is a 2 x 2 matrix such that \[C=\begin{bmatrix} 3 &4 \\ … Read more
A matrix obtained as a resultant by changing rows into columns and columns into rows of any matrix is known as the transpose of a matrix. It is generally denoted by PT or P’, where P is any matrix. Transpose of a matrix example Let R is a matrix such that \[R=\begin{bmatrix} 1 & 2 … Read more
Conjugate of a matrix is the matrix obtained from matrix ‘P’ on replacing its elements with the corresponding conjugate complex numbers. It is denoted by $\overline{P}$. Conjugate of a matrix example Let Q is a matrix such that \[Q=\begin{bmatrix} 1+i &2+3i \\ 4-2i& 6 \end{bmatrix}\] Now, to find the conjugate of this matrix Q, we … Read more