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The identity matrix is the only idempotent matrix with non-zero determinant. That is, it is the only matrix such that: When multiplied by itself, the The principal square root of an identity matrix is itself, and this is its only positive-definite square root. However, every identity matrix with at least two...Evaluate the determinant of A (work it out, even though you are given the numerical answer). Ok so this is what I am doing I found the determinant of A its something like this a(ei-fh)-b(di-gh)+c(dh-eg) = 4 Then I found the adjoint A which has terms like this Since determinant of an identity matrix is 11.1 Matrices Zero matrices •Every element of a matrix is zero, it is called a zero matrix, i.e., 0 0 0 O O 0 O O 0 10 1.2 Operations of matrices Sums of matrices •If A = and B = are m x n matrices, then A + B is defined as a matrix C = A + B, where [Cid, c = q.. + bi. for 1 1 j n. 123 230 Example: if A and B Evaluate A + B and A-B 1-2 2-3 3 ... 24.1 The determinant and determinant line of a linear operator in nite dimensions242 24.2 Determinant line of a vector space and of a complex 244 24.3 Abstract de ning properties of determinants 246 24.4 Pfa an Line 246 24.5 Determinants and determinant lines in in nite dimensions 248 24.5.1 Determinants 248 24.5.2 Fredholom Operators 249