Is matrix multiplication associative
One of the properties of matrix multiplication is associative property of multiplication. Consider 3 matrices A, B and C, if... View Article
One of the properties of matrix multiplication is associative property of multiplication. Consider 3 matrices A, B and C, if... View Article
A binary operation that gives the product of two matrices is matrix multiplication. For the process of matrix multiplication, the... View Article
Symbol for average or mean is bar x. In statistics, we mostly come across the \(\begin{array}{l}\bar{x}\end{array} \) symbol. \(\begin{array}{l}\bar{x}\end{array} \)... View Article
Matrix is a very useful topic that comes under linear algebra. It is an arrangement of elements, especially numbers, in... View Article
Young’s modulus or the modulus of elasticity is a mechanical property that measures the tensile stiffness of a solid material.... View Article
The formula to calculate the simple and compound interest are given below: Simple Interest Formula: Simple Interest (S.I) = PTR/100... View Article
Yes, the ellipse is a conic section. It is considered as the closed type of conic section. Based on the... View Article
The median is defined as the middle value of the given data set. The median of 5 and 7 is... View Article
No, the mean value theorem is not the same as the intermediate value theorem. The mean value theorem is all... View Article
The procedure to find the inverse of a function, which contains a fraction is as follows: For example, if the... View Article
No, sound waves cannot travel in a vacuum. This is because sound waves are mechanical waves that need a medium... View Article
In Maths, the mean is defined as the average of all the given values. It means that the sum of... View Article
In Maths, a matrix is defined as a rectangular array of numbers, which are arranged in rows and columns. Each... View Article
A heat engine is a device that converts heat to work. It takes heat from a reservoir then does work... View Article
In probability, independent events are the events that are not affected by previous events. To calculate the probability of two... View Article
In Mathematics, the word “Inverse” refers to the opposite operation. It means that the operation reverses the process of other... View Article
In Mathematics, geometric mean and harmonic mean are the two different types of mean to calculate the average of the... View Article
Solution: Given z = (11-3i)/(1+i) Multiply numerator and denominator with (1-i) z = (11-3i)(1-i)/(1+i)(1-i) = (11-3i-11i-3)/(1+1) = (8-14i)/2 = 4-7i... View Article
Solution: Given z = (√3/2 +i/2)5+(√3/2 -i/2)5 = (cos π/6 +i sin π/6)5+(cos π/6 -i sin π/6)5 = 2 cos... View Article
Solution: z = x+iy Given equation |(z-5i)/(z+5i)| = 1 Put z = x+iy in above equation |(x+iy-5i)/(x+iy+5i)| = 1 |(x+i(y-5))/(x+i(y+5))|... View Article