Multiplication/Division Word Problems Calculator

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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Steps Examples

Generated by AI

inverse (

1	1	1	2
1	0	1	−1
0	−1	−2	1
0	2	0	2

)

Solution

(

0	1	12	14
−12	12	0	34
12	−12	−12	−12
12	−12	0	−14

)

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Solution steps

One step at a time

(

1	1	1	2
1	0	1	−1
0	−1	−2	1
0	2	0	2

)⁻¹

Inverse matrix

A matrix is invertible if and only if there is a sequence of elementary row (or column) operations taking it to the identity matrix.

Augment with a 4x4 identity matrix

[

1	1	1	2	∣	1	0	0	0
1	0	1	−1	∣	0	1	0	0
0	−1	−2	1	∣	0	0	1	0
0	2	0	2	∣	0	0	0	1

]

Reduce the matrix on the left to the identity matrix

[

1	0	0	0	∣	0	1	12	14
0	1	0	0	∣	−12	12	0	34
0	0	1	0	∣	12	−12	−12	−12
0	0	0	1	∣	12	−12	0	−14

]

The inverse matrix is on the right side of the augmented matrix

0	1	12	14
−12	12	0	34
12	−12	−12	−12
12	−12	0	−14

)

Multiplication/Division Word Problems Examples

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

Multiplication/Division Word Problems Calculator

Solution

Solution steps

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