A block matrix has the form In which A, B, C, D are matrices with respective sizes
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In which A, B, C, D are matrices with respective sizes i à k,i à l, j à k, j à l.
(a) What is the size of M?
(b) Write out the block matrix M when
(c) Show that if
is a block matrix whose blocks have the same size as those of M, then
i.e., matrix addition can be done in blocks.
(d) Show that if
has blocks of I compatible size, the matrix product is
Explain what "compatible" means.
(e) Write down a compatible block matrix P for the matrix M in part (b). Then validate the block matrix product identity for your chosen matrices.
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