INVBAT.COM
FORMULA AND CALCULATOR
Smartphone - Tablet - Laptop - Desktop

We do customize calculator

Subscribe

Use the Calculator Below to Solve for Determinant of 2 x2 Matrix

Answer =

Important things to remember about determinant of 2 x 2 matrix

LESSON NO.1 Matrix A = m x n size ; the letter m - tells you how many rows of number, this number is also called component, elements, or entries in many linear algebra book.
the letter n - tells you how many columns of number or entries .

DEMONSTRATE THAT YOU UNDERSTAND LESSON NO.1 Now apply lesson 1
When you read Matrix A = 3 x 2 explain how many rows and column of numbers your will expect to see. Can you write an example of 3 x 2 matrix. With this understanding you can tell if somebody is making a mistake in writing Matrix notation.

LESSON NO. 2 What is determinant? Answer: Determinant is the answer after you have done the calculation of square matrix.

LESSON NO. 3 What is a square matrix? Answer: square matrix means the number of row data and column data are equal. For example the above matrix is called 2 x 2 square matrix because if you count the number of row = 2 and if you count the number of column = 2. Hence , it is called 2 x 2 Square Matrix or Just 2 x 2 Matrix.

LESSON NO. 4 How do you compute the value of determinant? Calculation of determinant is time consuming as you can see from calculation shown below. First you need to have a calculator and you must remember from your memory the formula and then the procedure on how to do the computation.

Would it be helpful to INVENT A BRAIN ASSISTANT TOOLS ( INVBAT ) using internet to do this kind of repetitive calculation and free our mind to focus on higher level of thinking like analysis, synthesis, evaluation, creating, inventing, and recommendation? INVBAT.COM think so and demonstrating it to you.

Why do I need to acquire the knowledge and skill on how to compute for the determinant value?

Answer: By acquiring the knowledge and skill on how to compute for determinant value of 2 x 2 matrix, it will help me to use Excel software or other computer programming language to solve 2 simultaneous linear equation quickly.

Shown below is the time consuming manual calculation on how to solve two simultaneous linear equation using determinant and Cramer's Rule or Cramer's Procedure. Cramer's Procedure only works if the determinant value is not equal to zero. Why ? because When Determinant, D = 0; 1 / Determinant or 1 / 0 = ?? No Unique answer. We also say I can't determine the answer or indeterminant.

When you go to step 5 below, imagine your determinant D value = 0 not -2. So now you are going to divide -14 / 0 = ??? , you say division by zero is not possible. Indeterminat, you can't determine the answer. Try typing in Google search 14/0 and you will get an anwer 14/0 = undefined.

The same explanation for inverse of matrix A, Matrix A has an inverse, A^-1, only if the determinant value of matrix A is not equal to zero.

X = B A^-1, Inverse of matrix A is important in solving linear equations. It can be written as B / | A | ; read as matrix B divided by determinant of matrix A.