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Compute the Indicated Products: `[[1 2],[2 3]][[1 2 3],[-3 2 -1]]` - Mathematics

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प्रश्न

Compute the indicated products:

`[[1     -2],[2     3]][[1         2        3],[-3    2      -1]]`

योग

उत्तर

`[[1    - 2],[2     3]][[1         2        3],[-3    2      -1]]`

`⇒[[1xx1+(-2xx(-3)           1xx2+(-2)xx2           1xx3+(-2)xx(-1)]],[2xx1+3xx(-3)                                   2xx2+3xx2                       2xx3+3xx(-1)]]`

`⇒ [[1+6     2-4        3+2],[2-9      4+6         6-3]]`

`⇒[[7      -2        5],[-7          10           3]]`

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अध्याय 5: Algebra of Matrices - Exercise 5.3 [पृष्ठ ४१]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 5 Algebra of Matrices
Exercise 5.3 | Q 1.2 | पृष्ठ ४१

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संबंधित प्रश्न

Compute the indicated products:

`[[a    b],[-b      a]][[a     -b],[b         a]]`


Compute the products AB and BA whichever exists in each of the following cases:

`A= [[1      -2],[2              3]]` and  B=`[[1       2        3],[2         3         1]]`


Evaluate the following:

`([[1              3],[-1    -4]]+[[3        -2],[-1         1]])[[1         3           5],[2            4               6]]`


If A = `[[1     0],[0        1]]`,B`[[1            0],[0       -1]]`

and C= `[[0      1],[1       0]]` 

, then show that A2 = B2 = C2 = I2.

 

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\[\begin{bmatrix}2 & - 3 & - 5 \\ - 1 & 4 & 5 \\ 1 & - 3 & - 4\end{bmatrix}\]and B =

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