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Matrices

Question
CBSEENMA12032845

In the matrix straight A equals open square brackets table row 2 5 19 cell negative 7 end cell row 35 cell negative 2 end cell cell 5 over 12 end cell 12 row cell square root of 5 end cell 1 cell negative 5 end cell 17 end table close square brackets. space Write

(i) The order of the matrix
(ii) The number of elements,
(iii) Write the elements a13,a21 a33 a24’ a23

Solution
Here
straight A equals left parenthesis straight a subscript straight i right parenthesis equals open square brackets table row 2 5 19 cell negative 7 end cell row 35 cell negative 2 end cell cell 5 over 12 end cell 12 row cell square root of 5 end cell 1 cell negative 5 end cell 17 end table close square brackets. space Write

( i) Now A has 3 rows and 4 columns and so A is of order 3 x 4.

(ii) Number of elements = 3 x 4 = 12

(iii) a13, =- 19., a21 =35, a33 = 5, J24 = 12, a23 equals 5 over 2