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Mathematics

Algebra

Easy

Question

$text The total number of matrices end text A equals open parentheses table attributes columnalign center center center columnspacing 1em rowspacing 4 pt end attributes row 0 cell 2 y end cell 1 row cell 2 x end cell y cell negative 1 end cell row cell 2 x end cell cell negative y end cell 1 end table close parentheses comma left parenthesis x comma y element of R comma x not equal to y right parenthesis space text for which end text straight A to the power of straight T straight A equals 3 straight I subscript 3 is colon$

$2$
$4$
$3$
$6$

The correct answer is: $4$

Related Questions to study

If $left square bracket table attributes columnalign left left columnspacing 1em rowspacing 4 pt end attributes row 1 1 row 0 1 end table right square bracket left square bracket table attributes columnalign left left columnspacing 1em rowspacing 4 pt end attributes row 1 2 row 0 1 end table right square bracket left square bracket table attributes columnalign left left columnspacing 1em rowspacing 4 pt end attributes row 1 3 row 0 1 end table right square bracket horizontal ellipsis horizontal ellipsis. left square bracket table attributes columnalign center center columnspacing 1em rowspacing 4 pt end attributes row 1 cell n minus 1 end cell row 0 1 end table right square bracket equals left square bracket table attributes columnalign center center columnspacing 1em rowspacing 4 pt end attributes row 1 78 row 0 1 end table right square bracket$ then the inverse of $left square bracket table attributes columnalign left left columnspacing 1em rowspacing 4 pt end attributes row 1 n row 0 1 end table right square bracket$ is

If $left square bracket table attributes columnalign left left columnspacing 1em rowspacing 4 pt end attributes row 1 1 row 0 1 end table right square bracket left square bracket table attributes columnalign left left columnspacing 1em rowspacing 4 pt end attributes row 1 2 row 0 1 end table right square bracket left square bracket table attributes columnalign left left columnspacing 1em rowspacing 4 pt end attributes row 1 3 row 0 1 end table right square bracket horizontal ellipsis horizontal ellipsis. left square bracket table attributes columnalign center center columnspacing 1em rowspacing 4 pt end attributes row 1 cell n minus 1 end cell row 0 1 end table right square bracket equals left square bracket table attributes columnalign center center columnspacing 1em rowspacing 4 pt end attributes row 1 78 row 0 1 end table right square bracket$ then the inverse of $left square bracket table attributes columnalign left left columnspacing 1em rowspacing 4 pt end attributes row 1 n row 0 1 end table right square bracket$ is

MathematicsAlgebra

$text Some identical balls are arranged in rows to form an equilateral triangle. The first row consists of one ball, end text text the second row consists of two balls and so on. If 99 more identical balls are added to the total number of end text text balls used in forming the equilateral triangle, then all these balls can be arranged in a square whose each side end text text contains exactly end text 2 text balls less than the number of balls each side of the triangle contains. Then the number of end text text balls used to form the equilateral triangle is: end text$

$text Some identical balls are arranged in rows to form an equilateral triangle. The first row consists of one ball, end text text the second row consists of two balls and so on. If 99 more identical balls are added to the total number of end text text balls used in forming the equilateral triangle, then all these balls can be arranged in a square whose each side end text text contains exactly end text 2 text balls less than the number of balls each side of the triangle contains. Then the number of end text text balls used to form the equilateral triangle is: end text$

MathematicsAlgebra

$space If space the space system space of space equations space 2 x plus 3 y minus z equals 0 comma space x plus k y minus 2 z equals 0 space a n d space 2 x minus y plus z equals 0 space has space a space non minus trivial solution space left parenthesis straight x comma straight y comma straight z right parenthesis t h e n space x over y plus y over z plus z over x plus k space space is space equal space to : space$

$space If space the space system space of space equations space 2 x plus 3 y minus z equals 0 comma space x plus k y minus 2 z equals 0 space a n d space 2 x minus y plus z equals 0 space has space a space non minus trivial solution space left parenthesis straight x comma straight y comma straight z right parenthesis t h e n space x over y plus y over z plus z over x plus k space space is space equal space to : space$

MathematicsAlgebra

parallel

$I f space t h e space f u n c t i o n space straight f colon straight R minus left curly bracket 1 comma negative 1 right curly bracket not stretchy rightwards arrow straight A space defined space by space straight f left parenthesis straight x right parenthesis equals fraction numerator straight x squared over denominator 1 minus straight x squared end fraction comma space is space surjective comma space then space straight A space is space equal space to space colon$

$I f space t h e space f u n c t i o n space straight f colon straight R minus left curly bracket 1 comma negative 1 right curly bracket not stretchy rightwards arrow straight A space defined space by space straight f left parenthesis straight x right parenthesis equals fraction numerator straight x squared over denominator 1 minus straight x squared end fraction comma space is space surjective comma space then space straight A space is space equal space to space colon$

MathematicsAlgebra

$L e t space alpha space a n d space beta space b e space t h e space r o o t s space o f space t h e space e q u a t i o n space x squared space plus space x space plus space 1 space equals space 0. space T h e n space f o r space y not equal to 0 space i n space R comma space open vertical bar table row cell y plus 1 end cell alpha beta row alpha cell y plus beta end cell 1 row beta 1 cell y plus alpha end cell end table close vertical bar space i s space e q u a l space t o space colon$

$L e t space alpha space a n d space beta space b e space t h e space r o o t s space o f space t h e space e q u a t i o n space x squared space plus space x space plus space 1 space equals space 0. space T h e n space f o r space y not equal to 0 space i n space R comma space open vertical bar table row cell y plus 1 end cell alpha beta row alpha cell y plus beta end cell 1 row beta 1 cell y plus alpha end cell end table close vertical bar space i s space e q u a l space t o space colon$

MathematicsAlgebra

Tell the time the clock shows.

Tell the time the clock shows.

MathematicsGrade-1

parallel

Find the time the clock shows.

Find the time the clock shows.

MathematicsGrade-1

Choose the clock which shows the time 9 o’clock.

Choose the clock which shows the time 9 o’clock.

MathematicsGrade-1

Which clock shows the time as 11 o’clock?

Which clock shows the time as 11 o’clock?

MathematicsGrade-1

parallel

Danny starts playing a cricket match one hour after 5 o’clock. What time did he start playing the match?

Danny starts playing a cricket match one hour after 5 o’clock. What time did he start playing the match?

MathematicsGrade-1

Simon likes to read 1 hour after 4o’clock. which clock shows the time Simon might read?

Simon likes to read 1 hour after 4o’clock. which clock shows the time Simon might read?

MathematicsGrade-1

The one hour before of 8 o’clock is _____.

The one hour before of 8 o’clock is _____.

MathematicsGrade-1

parallel

Two hours after 10 o’clock is _____.

Two hours after 10 o’clock is _____.

MathematicsGrade-1

John starts playing drums at 10 o’clock. He plays continuously one hour. At what time he finished playing drums.

John starts playing drums at 10 o’clock. He plays continuously one hour. At what time he finished playing drums.

MathematicsGrade-1

Lisa rides her bike 1 hour after 6 o’clock. Choose the clock that shows the time Lisa might ride her bike.

Lisa rides her bike 1 hour after 6 o’clock. Choose the clock that shows the time Lisa might ride her bike.

MathematicsGrade-1

parallel

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