MATRIX MULTIPLICATION || HOW TO MULTIPLY MATRIX || CROSS MULTIPLY MATRIX || QUICK MULTIPLY || TELE

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What is the order of matrix?
The number of rows and columns that a matrix has is called its order or its dimension. By convention, rows are listed first; and columns, second. Thus, we would say that the order (or dimension) of the matrix below is 3 x 4, meaning that it has 3 rows and 4 columns.

In order to multiply matrices,
Step 1: Make sure that the the number of columns in the 1st one equals the number of rows in the 2nd one. (The pre-requisite to be able to multiply)
Step 2: Multiply the elements of each row of the first matrix by the elements of each column in the second matrix.
Step 3: Add the products.

Can you add a 1x3 and a 3x1 matrix?
Multiplication of 1x3 and 3x1 matrices is possible and the result matrix is a 1x1 matrix.


What is the sum of matrix A and its negative?
The sum of matrix A and its negative is equal to 0.

A matrix can be multiplied by any other matrix that has the same number of rows as the first has columns. ... These matrices may be multiplied by each other to create a 2 x 3 matrix.) So the answer to your question is, a matrix cannot be multiplied by a matrix with a different number of rows then the first has columns.


This tutorial is divided into 6 parts to cover the main types of matrices; they are:
Square Matrix.
Symmetric Matrix.
Triangular Matrix.
Diagonal Matrix.
Identity Matrix.
Orthogonal Matrix.


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Can you add matrices of different sizes?
In order to add two matrices, they must have the same dimensions, so you cannot add your matrices. In order to multiply to matrices M and N, the number of columns of M must be equal to the number of rows of N. In your case, you can multiply A⋅B because the number of columns of A is 2 and the number of rows of B is 2.



How do you calculate matrix?
To multiply a matrix by a single number is easy:
These are the calculations: 2×4=8. 2×0=0. ...
The "Dot Product" is where we multiply matching members, then sum up: (1, 2, 3) • (7, 9, 11) = 1×7 + 2×9 + 3×11. = 58. ...
(1, 2, 3) • (8, 10, 12) = 1×8 + 2×10 + 3×12. = 64. ...
DONE! Why Do It This Way?


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