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5. Algebra of Matrices
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Q19 of 307 Page 5

Find x, y, z and t, if

+=

=


=


= =7 =14


= =7-3 =14+4


= =4 =18


= =2 =9


Hence, =2,=9


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18

If and then find the matrix X of order 3 x 2 such that 2A + 3X = 5B.

19

Find x, y, z and t, if

20

If X and Y are 2 × 2 matrices, then solve the following matrix equations for X and Y.

21

In a certain city there are 30 colleges. Each college has 15 peons, 6 clerks, 1 typist and 1 section officer. Express the given information as a column matrix. Using scalar multiplication, find the total number of posts of each kind in all the colleges.

Questions · 307
5. Algebra of Matrices
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