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A B C D is a matrix, where a C is a diagonal matrix. Is the value of the determinant det ([a B; C D]) equal to the determinant det (a) * det (d) - det (b) * det (c)
When a C is a determinant of a diagonal matrix, whether the value of det ([a B; C D]) is equal to the determinant det (a) * det (d) - det (b) * det (c), because the necessary and sufficient condition for det ([a B; C D] = det (a) * det (d) - det (b) * det (c) is
AC = Ca, when a and C are diagonal matrices, there must be AC = ca
Hello, your answer is very sharp. I have a question about matrix. Please help me. Matrix A = [29], what is its determinant? (DET a)
I know that the inverse matrix of a 1x1 matrix is its reciprocal, but what about the determinant?
Is it the identity matrix? Or is it itself
detA = 29
The determinants of matrices whose diagonals are all 0 and others are - 1 are proved to be det (matrices whose I-are all 1)
det （0 -1 -1...-1）
(-1 0 -1.-1)
All diagonal lines are 0, others are - 1
Prove that it is equal to det (i-all-1 matrix)
Using block method
As a matrix:
I - matrices with all 1 = diagonals with all 0, others with - 1
Take both sides of the determinant value, is the conclusion you want
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