![]() ![]() Only those matrices which have a non-zero determinant (we will learn about determinants later) have an inverse. However, it’s important to note that not all matrices have inverses. Just as any number multiplied by 1 remains the same, any matrix multiplied by the identity matrix retains its original values. The identity matrix is like the number 1 of matrices. Now, the inverse of this matrix is like a magical mirror that, when multiplied with the original matrix, returns a special matrix called the identity matrix. This square is what mathematicians refer to as a 3×3 matrix. Imagine a square that is divided into nine equal compartments. ![]() For our little math enthusiasts at Brighterly, understanding these mathematical fundamentals can be a piece of cake if we break it down into bite-sized chunks. In the realm of mathematics, particularly in linear algebra, the concept of a matrix and its inverse is a vital one. It may seem a complex topic at first, but fear not! Our Brighterly team is here to light up your path to understanding. Welcome to another exciting adventure in the land of mathematics with Brighterly! Today, we’ll be unraveling the mysteries surrounding the inverse of a 3×3 matrix.
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