What is identity matrix with example.​

An identity matrix is a square matrix having 1s on the main diagonal, and 0s everywhere else. For example, the 2×2 and 3×3 identity matrices are shown below. These are called identity matrices because, when you multiply them with a compatible matrix , you get back the same matrix

Step-by-step explanation:

An identity matrix is a square matrix having 1s on the main diagonal, and 0s everywhere else. For example, the 2×2 and 3×3 identity matrices are shown below. These are called identity matrices because, when you multiply them with a compatible matrix , you get back the same matrix.

Identity Matrix is the matrix which is n × n square matrix where the diagonal consist of ones and the other elements are all zeros. It is also called as a Unit Matrix or Elementary matrix. It is represented as In or just by I, where n represents the size of the square matrix. Identity Matrix is denoted with the letter “In×n”, where n×n represents the order of the matrix.

One of the important properties of identity matrix is: A×In×n = A, where A is any square matrix of order n×n.

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geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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