If -1 2 3- A - -4-5- the order of matrix A is 3- 2-3- 1-2- 3-2- 1-

The correct option is A 3 × 2 If order of matrix A is m × n and order of matrix B is n × p then, order of AB = m × p, Here Order of [1 2 3] = 1 × 3 Order of [4 ...

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Standard X

Mathematics

Order of a Matrix

If [1 2 3] A ...

Question

If [1 2 3] A = [4 5], the order of matrix A is

3 $\times$ 2

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3 $\times$ 1

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2 $\times$ 3

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2 $\times$ 1

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Solution

The correct option is A
3 $\times$ 2

If order of matrix A is m $\times$ n and order of matrix B is n $\times$ p then,

order of AB = m $\times$ p, Here

Order of [1 2 3] = 1 $\times$ 3

Order of [4 5] = 1 $\times$ 2

$∴$ Order of A is 3 $\times$ 2

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Similar questions

Simplify:

(1) $2 + (- 4) - (+ 3)$

(2) $- 5 + 4 - (- 2)$

(3) $10 + (- 5) - (- 4)$

(4) $12 - (+ 6) + (- 3)$

(5) $- 15 + (- 4) - (+ 3)$

Q. Simplify:
(i)

\{{(\frac{1}{3})}^{- 3} - {(\frac{1}{2})}^{- 3}\} \div {(\frac{1}{4})}^{- 3}

(ii)

(3^{2} - 2^{2}) \times {(\frac{2}{3})}^{- 3}

(iii)

{\{{(\frac{1}{2})}^{- 1} \times (- 4)^{- 1}\}}^{- 1}

(iv)

{[{\{{(\frac{- 1}{4})}^{2}\}}^{- 2}]}^{- 1}

(v)

{\{{(\frac{2}{3})}^{2}\}}^{3} \times {(\frac{1}{3})}^{- 4} \times 3^{- 1} \times 6^{- 1}

Q. If

\frac{2}{x} + \frac{3}{y} = 6 and \frac{1}{x} + \frac{1}{2 y} = 2

then
(a)

x = 1, y = \frac{2}{3}

(b)

x = \frac{2}{3}, y = 1

(c)

x = 1, y = \frac{3}{2}

(d)

x = \frac{3}{2}, y = 1

In the matrix, write :
$A = ⎡ ⎢ ⎢ ⎣ \begin{matrix} 235 \sqrt{3} \end{matrix} \begin{matrix} 5 - 2 1 \end{matrix} \begin{matrix} 19 \frac{5}{2} - 5 \end{matrix} \begin{matrix} - 7 1217 \end{matrix} ⎤ ⎥ ⎥ ⎦$

(i) The order of the matrix
(ii) The number of elements
(iii) Write the elements $a_{13}, a_{21}, a_{33}, a_{24}, a_{23}$

Q. (i) Find a matrix X such that 2A + B + X = O, where
A =

\"[\"\begin{matrix} - 1 & 2 \\ 3 & 4 \end{matrix}\"]\"

, B =

\"[\"\begin{matrix} 3 & - 2 \\ 1 & 5 \end{matrix}\"]\"

(ii) If A =

\"[\"\begin{matrix} 8 & 0 \\ 4 & - 2 \\ 3 & 6 \end{matrix}\"]\"

and B =

\"[\"\begin{matrix} 2 & - 2 \\ 4 & 2 \\ - 5 & 1 \end{matrix}\"]\"

, then find the matrix X of order 3 × 2 such that 2A + 3X = 5B.

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If [1 2 3] A = [4 5], the order of matrix A is

The correct option is A 3 × 2 If order of matrix A is m × n and order of matrix B is n × p then, order of AB = m × p, Here Order of [1 2 3] = 1 × 3 Order of [4 5] = 1 × 2 ∴ Order of A is 3 × 2

The correct option is A
3 $\times$ 2

If order of matrix A is m $\times$ n and order of matrix B is n $\times$ p then,

order of AB = m $\times$ p, Here

Order of [1 2 3] = 1 $\times$ 3

Order of [4 5] = 1 $\times$ 2

$∴$ Order of A is 3 $\times$ 2