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vaieri [72.5K]
2 years ago
8

Suppose A,B and C are 2 ×2 matrices , E,F and G are 3 × 3 matrices, H and K are 2×3 matrices and L and M are 3×2 matrices. For e

ach of the following, if the operation is denied, specify the size of the matix that results. (a) AB+C (b) 3GF (c) CK+B (d) CK+H (e) EMC (f) GLH (g) HLG (h) 2EL+5MB
Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
8 0

Answer:

a) 2x2 b)3x3 c) Not possible d) 2x3 e) 3x2 f) 3x3 g)Not possible h)3x2

Step-by-step explanation:

-> we can only add matrices with same size

-> we can only multiply when columns of first equal to rows of second

-> nxm multiplied by pxq gives nxq eg 3x2 mul 2x2 gives 3x2

-> addition and mul by const number dont change the size

So considering the above facts :-

a) AB+C = [(2x2)(2X2)]+(2x2)=(2x2)+(2x2)=2x2

b) 3GF =3[(3x3)(3x3)]=3(3x3)=3x3

c)CK+B= [(2x2)(2x3)]+(2x2)=(2x3)+(2x2) which is not possible (see point 1)

d)CK+H =as CK is (2x3) so (2x3)+(2x3)=(2x3)

e)EMC=[(3x3)(3x2)](2x2)=(3x2)(2x2)=3x3

f)GLH=[(3x3)(3x2)](2x3)=(3x2)(2x3)=3x3

g)HLG=[(2x3)(3x2)](3x3)=(2x2)(3x3)= not possible(see point 2)

h)2EL+5MB=2[(3x3)(3x2)]+5[(3x2)(2x2)]=(3x2)+(3x2)=3x2

   

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Step-by-step explanation:

Hello!

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<em>The statistic value |Z| = 2.053 > 1.96 at 0.05 Level of significance</em>

<em>Null hypothesis is rejected</em>

<em>Alternative hypothesis is Accepted</em>

<em> Actually 30% of all drivers make not this mistake at the given intersection</em>

<em>b)</em>

<em>The test statistic value |Z| = 2.053 >2.576 at 0.01 Level of significance</em>

<em>Null hypothesis is Accepted</em>

<em> Actually 30% of all drivers make this mistake at the given intersection</em>

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<u><em>Step(i):</em></u>-

Given Population proportion = 30% or 0.30

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<u><em>Step(ii):-</em></u>

a)

<em>Test statistic </em>

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<em>The calculated value |Z| = 2.053 > 1.96 at 0.05 Level of significance</em>

<em>Null hypothesis is rejected</em>

<em>Alternative hypothesis is Accepted</em>

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<em> Actually 30% of all drivers make not this mistake at the given intersection</em>

<em>b)</em>

<em>Given level of significance  = 0.01</em>

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<em>The calculated value |Z| = 2.053 >2.576 at 0.01 Level of significance</em>

<em>Null hypothesis is Accepted</em>

<em> Actually 30% of all drivers make this mistake at the given intersection</em>

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