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Matrices: Multiplication

(
–12
05
)
×
(
–46
–14
)
=
(
)

tickcross



Worked Solution:

Position row R, column C in the product, is calculated by taking row R in the first matrix and column C in the second matrix; multiply a row element and its corresponding column element and add the 2 resulting products:
(
–12
05
)
×
(
–46
–14
)
=
(
(–1)×(–4) + 2×(–1)(–1)×6 + 2×4
0×(–4) + 5×(–1)0×6 + 5×4
)
=
(
22
–520
)


© MEI Produced by Dr Ron Knott, 13 December 2006
tom . button [AT] mei . org . uk
Test reference: MatrixMult.html?ref=74354