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Maths test

A vibrant illustration of complex mathematical equations and symbols, with a background of a chalkboard filled with matrix theories, creating a dynamic and engaging educational environment.

Advanced Mathematics Quiz

Test your knowledge with this challenging mathematics quiz designed for advanced learners. Dive into the world of algebra, matrices, and their properties.

Each question is crafted to evaluate your understanding of mathematical concepts pertinent to linear algebra and matrix theory.

10 thought-provoking questions
Instant feedback on your answers
Score-based assessment

10 Questions2 MinutesCreated by CalculatingWizard47

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3 x 3 कोटि के झसे आवढ़”यूहों की कढ़ल कितनी संखढ़”या होगी जिनकी पढ़रतढ़”येक पढ़रविषढ़टि 0 या 1 है

[1]. 27

[2]. 18

[3]. 81

[4]. 512

��दि A तथा B समान कोटि के सममित आवढ़”यूह हैं तो AB – BA झक

[1]. विषम सममित आवढ़यूह

[2]. सममित आवढ़यूह

[3]. शूनढ़य आवढ़यूह

[4]. ततढ़सयमक आवढ़यूह

Py + Wy के परिभाषित होने के लिये n, k तथा p पर कढ़”या पढ़रतिबंध होगा?

[1]. k = 3, p = n

[2]. k सढ़वेचढ़छ, p = 2

[3]. p सढ़वेचढ़छ, k = 3

[4]. k = 2, p = 3

��वढ़”यूह A तथा B झक दूसरे के वढ़”यढ़तढ़”कढ़रम होंगे यदि -

[1]. AB = BA

[2]. AB – BA = 0

[3]. AB = 0, BA = I

[4]. AB = BA = I

��दि A झक वरढ़ग आवढ़”यूह इस पढ़रकार है कि A2 = A, तो (I + A)3 – 7A

[1]. A

[2]. I - A

[3]. I

[4]. 3A

��दि झक आवढ़”यूह A सममित तथा विषम सममित दोनों ही हैं,तो

[1]. झक विकरढ़ण आवढ़”यूह है

[2]. झक शूनढ़”य आवढ़”यूह है

[3]. झक वरढ़ग आवढ़”यूह है

[4]. इनमें मे कोई नहीं

��क विषम सममित आवढ़”यूह के विकरढ़ण का पढ़रतढ़”येक अवयव

[1]. शूनढ़”य

[2]. धनातढ़”मक

[3]. ऋणातढ़”मक

[4]. अवासढ़”तविक

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