Given matrix A - - 4sin 30- cos 0- cos 0- 4sin 30- - and B - - 4- 5 - If AX - BWrite the order the matrix X

Given: A = [ 4sin 30^∘ #160; amp; cos 0^∘ #160;; cos 0^∘ #160; amp; 4sin 30^∘ #160; ] and B = #16 ...

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Byju's Answer

Standard XII

Mathematics

Multiplication of Matrices

Given matrix ...

Question

Given matrix $A = [\begin{matrix} 4 sin 30^{\circ} & cos 0^{\circ} cos 0^{\circ} & 4 sin 30^{\circ} \end{matrix}]$ and $B = [\begin{matrix} 45 \end{matrix}]$ If $A X = B$
Write the order the matrix $X$

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Solution

Given: $A = [\begin{matrix} 4 sin 30^{\circ} & cos 0^{\circ} cos 0^{\circ} & 4 sin 30^{\circ} \end{matrix}]$ and $B = [\begin{matrix} 45 \end{matrix}]$
Order of $A = 2 \times 2$ , Order of $B = 2 \times 1$
Also given: $A X = B$
$[A]_{2 \times 2} [X]_{2 \times 1} = [B]_{2 \times 1}$
$∴$ Order of $X = 2 \times 1$

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Similar questions

Q. Given matrix

A = [\begin{matrix} 4 sin 30^{\circ} & cos 0^{\circ} cos 0^{\circ} & 4 sin 30^{\circ} \end{matrix}]

and

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If $x^{2} t a n^{2} 60^{\circ} - 4 x c o s^{2} 45^{\circ} = 4 s i n 30^{\circ} c o s 60^{\circ} t a n 45^{\circ}$ and x is not an integer then x is equal to

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Q. if

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Given matrix A=[4sin30∘cos0∘cos0∘4sin30∘] and B=[45] If AX=BWrite the order the matrix X

Given: A=[4sin30∘cos0∘cos0∘4sin30∘] and B=[45]Order of A=2×2, Order of B=2×1Also given: AX=B[A]2×2[X]2×1=[B]2×1∴ Order of X=2×1

Given matrix $A = [\begin{matrix} 4 sin 30^{\circ} & cos 0^{\circ} cos 0^{\circ} & 4 sin 30^{\circ} \end{matrix}]$ and $B = [\begin{matrix} 45 \end{matrix}]$ If $A X = B$
Write the order the matrix $X$