just make the matrices upper triangular by making the values below the digonal zero,and then find how many minors can be calcuted.......
No, it is not.
yes it is
how to multiply two sparse matrices
The product of a p x q and a r x s matrix is defined only if q = r and, if so, it is a p x s matrix.
A product is a operation involving two or more inputs (numbers, matrices, etc). A "number that is half of 12" comprises only a single number and so there cannot be any product.
The statement that the rank of product of two matrices cannot exceed the rank of either factor is a true statement. The rank of a matrix is the largest number of linearly independent rows or columns. The column rank is equal to the row rank in every matrix.
no
No, it is not.
yes it is
The Kronecker product is a specific type of tensor product that is used for matrices, while the tensor product is a more general concept that can be applied to vectors, matrices, and other mathematical objects. The Kronecker product combines two matrices to create a larger matrix, while the tensor product combines two mathematical objects to create a new object with specific properties.
how to multiply two sparse matrices
The proof of the anticommutator relationship for gamma matrices shows that when you multiply two gamma matrices and switch their order, the result is the negative of the original product. This relationship is important in quantum field theory and helps describe the behavior of particles.
The product of a p x q and a r x s matrix is defined only if q = r and, if so, it is a p x s matrix.
A product is a operation involving two or more inputs (numbers, matrices, etc). A "number that is half of 12" comprises only a single number and so there cannot be any product.
If the product of two matrices is the identity matrix then one matrix is the inverse or reciprocal of the other matrix. EXAMPLE A =(4 1) A-1 = (0.3 -0.1) then AA-1 = (1 0) .....(2 3)......... (-0.2 0.4)................... (1 1) The dots simply maintain the spacing and serve no other purpose.
yes that's absoloutly correct
Let me correct you: two-dimensional arrays are used in programming to represent matrices. (Matrices are objects of mathematics, arrays are objects of programming.)