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Linear Algebra

What is linear algebra? Graphically speaking, linear algebra deals with lines and their transformations. In short, linear algebra is linear transformation represented using vectors of numbers and matrices of two dimensional numbers.

Inverse Of Matrix

In linear algebra, matrix inverse holds a special place because there is not division in matrix algebra. You cannot divide two matrices. Fortunately, the division is possible when a matrix is multiplied with its inverse which is unique. The inverse is not possible with just any kind of matrix, a matrix must be square and …

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Power Of Matrices

The matrices can be multiplied to get product matrix and also they demonstrate all other mathematical properties. The power of matrices is another mathematical property of matrix where matrix is raised to a power using an exponent. This brings another question, does the exponent laws applies to matrices or not ? what type of matrices …

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Logical Equivalence

We have seen prepositions, connectives and compound prepositions; all possible combinations of truth values of the individual prepositions in a compound preposition is depicted in a truth-table. However, it is possible that another preposition or compound preposition has the same truth values in the truth table. This is called logical equivalence of two prepositions. The …

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Prepositional Logic-Implication and Biconditional

In the previous video, you learned about different types of basic logical connectives that helps in creating compound prepositions. These connectives are join two or more atomic statements to form compound preposition which also have a truth value of its own. We have discuss negation, conjunction, and disjunction connectives so far, the remaining two connectives …

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