No. Matrix addition (or subtraction) is defined only for matrices of the same dimensions.
That is because a cube has 3 dimensions, and a square has 2.That is because a cube has 3 dimensions, and a square has 2.That is because a cube has 3 dimensions, and a square has 2.That is because a cube has 3 dimensions, and a square has 2.
A square matrix A is idempotent if A^2 = A. It's really simple
A 2x4 matrix has 2 rows (horizontal) and 4 columns (vertical). Ex: [1 2 3 4] [5 6 7 8]
An idempotent is a matrix whose square is itself. Specifically, A^{2}=A. For example the 2x2 matrix A= 1 1 0 0 is idempotent.
Well, Im not sure if this is true for all matrices of all sizes, but for a 2x2 square matrix the discriminant is... dis(A) = tr(A)^2 - 4 det(A) The discriminant of matrix A is equal to the square of the trace of matrix A, minus four times the determinant of matrix A. I know this to be true for all 2x2 square matrice, but I have never seen any statement one way or the other for larger matrices. Thus, for matrix A = [ a, b; c, d ] tr(A) = a+d det(A) = ad-bc tr(A)^2 = a^2 + 2ad + d^2 4 det(A) = 4ad - 4bc dis(A) = a^2 - 2ad + 4bc + d^2
no
Yes.
The order of a matrix is another way of saying the dimensions of of a matrix. For a two dimensional matrix, the order could be 2 by 2, or 3 by 3, or 32 by 64.
No.Two matrices A and B can be added or subtracted if and only if they have the same number of rows and columns. That is a 3 x 2 matrix can be added or subtracted only with another 3 x 2 matrix.
2*2
2 x 5 matrix
It will be a 2 x 5 matrix.
7 x 6A+
6 -7 2 1 2 0
6 -7 2 1 2 0
a squar matrix A is called involutary matrix. if A^2=I
a squar matrix A is called involutary matrix. if A^2=I